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{{Short description|Polish-American mathematician (1923–1988)}}
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[[File:Israel Herstein.jpeg|thumb|upright=1.3|Israel N. Herstein in [[Berkeley, California|Berkeley]], 1987]]
{{Infobox scientist
| name = Israel Nathan Herstein
| image = [[File:Israel Herstein.jpeg|center|upright=1|frameless]]
| image_size =
| alt =
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| caption = Herstein in [[Berkeley, California]], 1987
| birth_date = {{birth date |1923|03|28}}
| birth_place = [[Lublin]], [[Second Polish Republic|Poland]]
| death_date = {{death date and age |1988|02|09 |1923|03|28}}
| death_place = [[Chicago]], Illinois, USA
| nationality =
| fields = Mathematics
| workplaces = [[University of Pennsylvania]]<br>[[Cornell University]]<br>[[University of Chicago]]
| alma_mater =
| education = [[University of Manitoba]]<br>[[Indiana University Bloomington]]
| doctoral_advisor = [[Max Zorn]]
| doctoral_students = [[Susan Montgomery]]<br>[[Claudio Procesi]]<br>[[Wallace Smith Martindale]]
| thesis_title =
| thesis_year =
| known_for =
| awards =
| spouse =
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}}


'''Israel Nathan Herstein''' (March 28, 1923 – February 9, 1988)<ref>{{cite news|author=Heise, Kenan|title=Israel Herstein, U. of C. Mathematics Professor|date=10 February 1988|newspaper=Chicago Tribune|url=http://articles.chicagotribune.com/1988-02-10/news/8803290242_1_mathematics-ring-theory-linear-algebra}}</ref> was a [[mathematician]], appointed as professor at the [[University of Chicago]] in 1951. He worked on a variety of areas of [[abstract algebra|algebra]], including [[ring theory]], with over 100 research papers and over a dozen books.
'''Israel Nathan Herstein''' (March 28, 1923 – February 9, 1988)<ref>{{cite news|author=Heise, Kenan|title=Israel Herstein, U. of C. Mathematics Professor|date=10 February 1988|newspaper=Chicago Tribune|url=https://www.chicagotribune.com/1988/02/10/israel-herstein-u-of-c-mathematics-professor/}}</ref> was a mathematician, appointed as professor at the [[University of Chicago]] in 1951. He worked on a variety of areas of [[abstract algebra|algebra]], including [[ring theory]], with over 100 research papers and over a dozen books.


==Education and career==
==Biography==
Herstein was born in [[Lublin]], [[Second Polish Republic|Poland]], in 1923. His family emigrated to Canada in 1926, and he grew up in a harsh and underprivileged environment where, according to him, "you either became a [[gangster]] or a [[college professor]]."<ref>{{cite journal |year= 1989|title= Obituary: Israel Nathan Herstein|journal= Bulletin of the London Mathematical Society|volume= 21|issue= 6|pages= 594–600|publisher= London Mathematical Society|doi= 10.1112/blms/21.6.594}}</ref> During his school years he played [[association football|football]], [[ice hockey]], [[golf]], [[tennis]], and [[billiards|pool]]. He also worked as a [[steeplejack]] and as a [[barker (occupation)|barker]] at a fair. He received his B.S. degree from the [[University of Manitoba]] and his M.A. from the [[University of Toronto]]. He received his [[Ph.D]] from [[Indiana University]] in 1948. His advisor was [[Max Zorn]]. He held positions at the [[University of Kansas]], [[Ohio State University]], [[University of Pennsylvania]], and [[Cornell University]] before permanently settling at the University of Chicago in 1962. He was a [[Guggenheim Fellow]] for the academic year 1960–1961.
Herstein was born in [[Lublin]], [[Second Polish Republic|Poland]], in 1923. His family emigrated to Canada in 1926, and he grew up in a harsh and underprivileged environment where, according to him, "you either became a gangster or a college professor."<ref>{{cite journal |year= 1989|title= Obituary: Israel Nathan Herstein|journal= Bulletin of the London Mathematical Society|volume= 21|issue= 6|pages= 594–600|publisher= London Mathematical Society|doi= 10.1112/blms/21.6.594|doi-access= free}}</ref> During his school years he played football, ice hockey, golf, tennis, and [[billiards|pool]]. He also worked as a [[steeplejack]] and as a [[barker (occupation)|barker]] at a fair. He received his B.S. degree from the [[University of Manitoba]] and his M.A. from the [[University of Toronto]]. He received his [[Ph.D]] from [[Indiana University Bloomington]] in 1948. His advisor was [[Max Zorn]]. He held positions at the [[University of Kansas]], [[Ohio State University]], [[University of Pennsylvania]], and [[Cornell University]] before permanently settling at the University of Chicago in 1962. He was a [[Guggenheim Fellow]] for the academic year 1960–1961.


He is known for his lucid style of writing, as exemplified by his ''Topics in Algebra'', an undergraduate introduction to [[abstract algebra]] that was first published in 1964, with a second edition in 1975. A more advanced text is his ''Noncommutative Rings''<ref>{{cite journal|author=Wonenburger, Maria J. |author-link=Maria Wonenburger|title=Review: ''Noncommutative rings'' by I. N. Herstein, Carus Mathematical Monographs, no. 15, MAA, 1968|journal=Bull. Amer. Math. Soc.|year=1969|volume=75|issue=4|pages=714–717|url=https://www.ams.org/journals/bull/1969-75-04/S0002-9904-1969-12256-1/S0002-9904-1969-12256-1.pdf|doi=10.1090/s0002-9904-1969-12256-1}}</ref> in the [[Carus Mathematical Monographs]] series. His primary interest was in [[noncommutative ring|noncommutative ring theory]], but he also wrote papers on [[finite group]]s, [[linear algebra]], and [[mathematical economics]].
He is known for his lucid style of writing, as exemplified by his ''Topics in Algebra'', an undergraduate introduction to [[abstract algebra]] that was first published in 1964, with a second edition in 1975. A more advanced text is his ''Noncommutative Rings''<ref>{{cite journal|author=Wonenburger, Maria J. |author-link=Maria Wonenburger|title=Review: ''Noncommutative rings'' by I. N. Herstein, Carus Mathematical Monographs, no. 15, MAA, 1968|journal=Bull. Amer. Math. Soc.|year=1969|volume=75|issue=4|pages=714–717|url=https://www.ams.org/journals/bull/1969-75-04/S0002-9904-1969-12256-1/S0002-9904-1969-12256-1.pdf|doi=10.1090/s0002-9904-1969-12256-1}}</ref> in the [[Carus Mathematical Monographs]] series. His primary interest was in [[noncommutative ring|noncommutative ring theory]], but he also wrote papers on [[finite group]]s, [[linear algebra]], and [[mathematical economics]].
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==Selected publications==
==Selected publications==
* {{cite journal|title=On the Lie ring of a simple ring|journal=Proc Natl Acad Sci U S A|date=May 1954|volume=40|issue=5|pages=305–306|pmc=534126|pmid=16589478|doi=10.1073/pnas.40.5.305|doi-access=free|last1=Herstein|first1=I. N.}}
*{{cite journal|title=On the Lie ring of a simple ring|journal=Proc Natl Acad Sci U S A|date=May 1954|volume=40|issue=5|pages=305–306|pmc=534126|pmid=16589478|doi=10.1073/pnas.40.5.305|doi-access=free|last1=Herstein|first1=I. N.|bibcode=1954PNAS...40..305H }}
* {{cite journal|title=A counterexample in Noetherian rings|journal=Proc Natl Acad Sci U S A|date=October 1965|volume=54|issue=4|pages=1036–1037|pmc=219788|pmid=16578617|doi=10.1073/pnas.54.4.1036|doi-access=free|last1=Herstein|first1=I. N.}}
*{{cite journal|title=A counterexample in Noetherian rings|journal=Proc Natl Acad Sci U S A|date=October 1965|volume=54|issue=4|pages=1036–1037|pmc=219788|pmid=16578617|doi=10.1073/pnas.54.4.1036|doi-access=free|last1=Herstein|first1=I. N.|bibcode=1965PNAS...54.1036H }}
* {{cite book|title=Rings with involution|publisher=Univ. Chicago Press|location=Chicago & London|year=1976|postscript=; x+247 pp.}}<ref>{{cite journal|author=Miers, C. Robert|title=Review: ''On the Lie ring of a simple ring'' by I. N. Herstein|journal=Bull. Amer. Math. Soc.|year=1978|volume=84|issue=2|pages=231–234|url=https://www.ams.org/journals/bull/1978-84-02/S0002-9904-1978-14461-9/S0002-9904-1978-14461-9.pdf|doi=10.1090/S0002-9904-1978-14461-9|doi-access=free}}</ref>
*{{cite book|title=Rings with involution|publisher=Univ. Chicago Press|location=Chicago & London|year=1976|postscript=; x+247 pp.}}<ref>{{cite journal|author=Miers, C. Robert|title=Review: ''On the Lie ring of a simple ring'' by I. N. Herstein|journal=Bull. Amer. Math. Soc.|year=1978|volume=84|issue=2|pages=231–234|url=https://www.ams.org/journals/bull/1978-84-02/S0002-9904-1978-14461-9/S0002-9904-1978-14461-9.pdf|doi=10.1090/S0002-9904-1978-14461-9|doi-access=free}}</ref>


== Notes ==
==Notes==
{{reflist}}
{{reflist}}


== References ==
==References==
* {{cite book
*{{cite book
| first = Joseph A.
| first = Joseph A.
| last = Gallian
| last = Gallian
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| edition = Sixth
| edition = Sixth
| publisher = Houghton Mifflin
| publisher = Houghton Mifflin
| isbn = 0-618-51471-6
| isbn = 0-618-51471-6}}
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}}


== External links ==
==External links==
* {{MacTutor Biography|id=Herstein}}
*{{MacTutor Biography|id=Herstein}}
* {{MathGenealogy |id=6526}}
*{{MathGenealogy |id=6526}}


{{authority control}}
{{authority control}}
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[[Category:20th-century American mathematicians]]
[[Category:20th-century American mathematicians]]
[[Category:Algebraists]]
[[Category:Algebraists]]
[[Category:Indiana University alumni]]
[[Category:Indiana University Bloomington alumni]]
[[Category:University of Chicago faculty]]
[[Category:University of Chicago faculty]]
[[Category:Ohio State University faculty]]
[[Category:Ohio State University faculty]]
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[[Category:University of Kansas faculty]]
[[Category:University of Kansas faculty]]
[[Category:University of Pennsylvania faculty]]
[[Category:University of Pennsylvania faculty]]
[[Category:Mathematicians at the University of Pennsylvania]]
[[Category:Cornell University faculty]]
[[Category:Cornell University faculty]]
[[Category:University of Manitoba alumni]]

Latest revision as of 17:17, 5 October 2024

Israel Nathan Herstein
Herstein in Berkeley, California, 1987
Born(1923-03-28)March 28, 1923
Lublin, Poland
DiedFebruary 9, 1988(1988-02-09) (aged 64)
Chicago, Illinois, USA
EducationUniversity of Manitoba
Indiana University Bloomington
Scientific career
FieldsMathematics
InstitutionsUniversity of Pennsylvania
Cornell University
University of Chicago
Doctoral advisorMax Zorn
Doctoral studentsSusan Montgomery
Claudio Procesi
Wallace Smith Martindale

Israel Nathan Herstein (March 28, 1923 – February 9, 1988)[1] was a mathematician, appointed as professor at the University of Chicago in 1951. He worked on a variety of areas of algebra, including ring theory, with over 100 research papers and over a dozen books.

Education and career

[edit]

Herstein was born in Lublin, Poland, in 1923. His family emigrated to Canada in 1926, and he grew up in a harsh and underprivileged environment where, according to him, "you either became a gangster or a college professor."[2] During his school years he played football, ice hockey, golf, tennis, and pool. He also worked as a steeplejack and as a barker at a fair. He received his B.S. degree from the University of Manitoba and his M.A. from the University of Toronto. He received his Ph.D from Indiana University Bloomington in 1948. His advisor was Max Zorn. He held positions at the University of Kansas, Ohio State University, University of Pennsylvania, and Cornell University before permanently settling at the University of Chicago in 1962. He was a Guggenheim Fellow for the academic year 1960–1961.

He is known for his lucid style of writing, as exemplified by his Topics in Algebra, an undergraduate introduction to abstract algebra that was first published in 1964, with a second edition in 1975. A more advanced text is his Noncommutative Rings[3] in the Carus Mathematical Monographs series. His primary interest was in noncommutative ring theory, but he also wrote papers on finite groups, linear algebra, and mathematical economics.

He had 30 Ph.D. students, traveled and lectured widely, and spoke Italian, Hebrew, Polish, and Portuguese. He died from cancer in Chicago, Illinois, in 1988. His doctoral students include Miriam Cohen, Wallace S. Martindale, Susan Montgomery, Karen Parshall and Claudio Procesi.

Selected publications

[edit]
  • Herstein, I. N. (May 1954). "On the Lie ring of a simple ring". Proc Natl Acad Sci U S A. 40 (5): 305–306. Bibcode:1954PNAS...40..305H. doi:10.1073/pnas.40.5.305. PMC 534126. PMID 16589478.
  • Herstein, I. N. (October 1965). "A counterexample in Noetherian rings". Proc Natl Acad Sci U S A. 54 (4): 1036–1037. Bibcode:1965PNAS...54.1036H. doi:10.1073/pnas.54.4.1036. PMC 219788. PMID 16578617.
  • Rings with involution. Chicago & London: Univ. Chicago Press. 1976; x+247 pp.{{cite book}}: CS1 maint: postscript (link)[4]

Notes

[edit]
  1. ^ Heise, Kenan (10 February 1988). "Israel Herstein, U. of C. Mathematics Professor". Chicago Tribune.
  2. ^ "Obituary: Israel Nathan Herstein". Bulletin of the London Mathematical Society. 21 (6). London Mathematical Society: 594–600. 1989. doi:10.1112/blms/21.6.594.
  3. ^ Wonenburger, Maria J. (1969). "Review: Noncommutative rings by I. N. Herstein, Carus Mathematical Monographs, no. 15, MAA, 1968" (PDF). Bull. Amer. Math. Soc. 75 (4): 714–717. doi:10.1090/s0002-9904-1969-12256-1.
  4. ^ Miers, C. Robert (1978). "Review: On the Lie ring of a simple ring by I. N. Herstein" (PDF). Bull. Amer. Math. Soc. 84 (2): 231–234. doi:10.1090/S0002-9904-1978-14461-9.

References

[edit]
  • Gallian, Joseph A. (2006). Contemporary Abstract Algebra (Sixth ed.). Houghton Mifflin. ISBN 0-618-51471-6.
[edit]
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