Barbara L. Osofsky [SEP] educated at
Barbara L. Osofsky
Barbara L. Osofsky (born 1937) is a retired professor of mathematics at Rutgers University. Her research concerns abstract algebra. Osofsky's contributions to mathematics include her characterization of semisimple rings in terms of properties of cyclic modules. Osofsky also established a logical equivalence between the continuum hypothesis and statements about the global dimension of associative rings.
Career.
Osofsky received her Ph.D. from Rutgers University in 1964. She then worked at Rutgers until 2004, when she retired. She served as acting chair of the Rutgers
of the American Mathematical Society.
Selected publications.
- 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.