Barbara L. Osofsky (born 1937)[1] is a retired professor of mathematics at Rutgers University.[2] Her research concerns abstract algebra. Osofsky's contributions to mathematics include her characterization of semisimple rings in terms of properties of cyclic modules.[3][4] Osofsky also established a logical equivalence between the continuum hypothesis and statements about the global dimension of associative rings.[5][6]

Barbara L. Osofsky
Born1937 (1937)
CitizenshipUnited States
Alma materRutgers University
Known forAbstract algebra
SpouseAbraham Osofsky
Children3
Awards
Scientific career
FieldsMathematics
InstitutionsRutgers University
Thesis Homological Properties of Rings and Modules  (1964)
Doctoral advisorCarl Clifton Faith

Career

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Osofsky received her Ph.D. from Rutgers University in 1964.[7] She then worked at Rutgers until 2004, when she retired.[8] She served as acting chair of the Rutgers mathematics department in 1978.[9]

Awards and honors

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In 1973, Osofsky addressed a national meeting of the AMS. She was the first woman in 50 years to do so. She became the first female editor of an AMS journal in 1974 when she became the editor of Proceedings of the American Mathematical Society.[10]

From 2000 to 2002, Osofsky served as First Vice-President of the Mathematical Association of America.[8] In 2005, she was awarded the MAA meritorious service award.

In 2012, Osofsky became a fellow of the American Mathematical Society.[11]

Selected publications

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  • Osofsky, B. L. A generalization of quasi-Frobenius rings. J. Algebra 4 1966 373–387.
  • Osofsky, B. L. Rings all of whose finitely generated modules are injective. Pacific J. Math. 14 1964 645–650.
  • Osofsky, Barbara L.; Smith, Patrick F. Cyclic modules whose quotients have all complement submodules direct summands. J. Algebra 139 (1991), no. 2, 342–354.

References

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  1. ^ Birth year from German National Library catalog entry, retrieved 2018-11-30.
  2. ^ Barbara L. Osofsky
  3. ^ B. L. Osofsky, Homological properties of rings and modules (Doctoral dissertation, Rutgers University, 1964).
  4. ^ T. Y. Lam, Lectures on Modules and Rings Graduate Texts in Mathematics, 189 (Springer-Verlag, New York, 1999), p. 224.
  5. ^ B. L. Osofsky, Homological dimension and the continuum hypothesis, Trans. Amer. Math. Soc. 132 (1968) 217–230.
  6. ^ B. L. Osofsky, Homological dimension and cardinality, Trans. Amer. Math. Soc. 151 (1970) 641–649.
  7. ^ Barbara Osofsky at the Mathematics Genealogy Project
  8. ^ a b "Spring 2005 Newsletter". Rutgers Mathematics Department. Retrieved Feb 1, 2015.
  9. ^ Charles Weibel. "A History of Mathematics at Rutgers". Retrieved Feb 1, 2015.
  10. ^ Peter L. Duren, Richard Askey, Uta C. Merzbach (1989) A Century of Mathematics in America American Mathematical Soc., p. 395
  11. ^ List of Fellows of the American Mathematical Society