Barbara L. Osofsky | Academic Influence

Barbara L. Osofsky's AcademicInfluence.com Rankings

Barbara L. Osofsky

Mathematics

#3803

World Rank

#5527

Historical Rank

#1371

USA Rank

Measure Theory

#3486

World Rank

#4112

Historical Rank

#1010

USA Rank

mathematics Degrees

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Mathematics

Barbara L. Osofsky's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Barbara L. Osofsky Influential?

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According to Wikipedia, Barbara L. Osofsky 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.

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Barbara L. Osofsky's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A generalization of quasi-frobenius rings (1966) (152)
Rings all of whose finitely generated modules are injective. (1964) (136)
Cyclic modules whose quotients have all complement submodules direct summands (1991) (86)
Noninjective cyclic modules (1968) (53)
Global dimension of valuation rings (1967) (45)
Homological dimension and the continuum hypothesis (1968) (43)
Homological Dimensions of Modules (1973) (41)
Upper Bounds on Homological Dimensions (1968) (34)
Homological dimension and cardinality (1970) (34)
Endomorphism Rings of Quasi-Injective Modules (1968) (29)
On twisted polynomial rings (1971) (28)
CYCLIC INJECTIVE MODULES OF FULL LINEAR RINGS (1966) (25)
Global Dimension of Commutative Rings with Linearly Ordered Ideals (1969) (21)
Noncommutative rings whose cyclic modules have cyclic injective hulls (1968) (20)
A construction of nonstandard uniserial modules over valuation domains (1991) (20)
Projective dimension of “nice” directed unions (1978) (20)
On Ring Properties of Injective Hulls1) (1964) (18)
The subscript of $\aleph _n$ ,projective dimension, and the vanishing of ${\lim\limits_\leftarrow}^{(n)}$ (1974) (14)
A COUNTER-EXAMPLE TO A LEMMA OF SKORNJAKOV (1965) (11)
Loewy length of perfect rings (1971) (11)
A non-trivial ring with non-rational injective hull (1967) (8)
Noether Lasker Primary Decomposition Revisited (1994) (8)
Chain conditions on essential submodules (1992) (7)
Relative injectivity and module classes (1992) (7)
A Remark on the Krull-Schmidt-Azumaya Theorem (1970) (7)
Injective modules over twisted polynomial rings (1990) (7)
Minimal cogenerators need not be unique (1991) (5)
Injective hulls with distinct ring structures (2009) (5)
A Remark on Colimits (1975) (5)
A semiperfect one-sided injective ring (1984) (5)
Hochschild dimension of a separably generated field (1973) (4)
A commutative local ring with finite global dimension and zero divisors (1969) (3)
NICE POLYNOMIALS FOR INTRODUCTORY GALOIS THEORY (1999) (2)
Problems for Solution: 5121-5130 (1963) (2)
QUASIDETERMINANTS AND RIGHT ROOTS OF POLYNOMIALS OVER DIVISION RINGS (2006) (2)
Advanced Problems: 5687,6102-6107 (1976) (2)
Projective dimension is a lattice invariant (2000) (1)
PROPERTIES OF INJECTIVE HULLS OF A RING HAVING A COMPATIBLE RING STRUCTURE* (2010) (1)
Rings, modules, and representations : International Conference on Rings and Things in Honor of Carl Faith and Barbara Osofsky, June 15-17, 2007, Ohio University-Zanesville, Zanesville, OH (2009) (1)
PROJECTIVE DIMENSION OF IDEALS IN VON NEUMANN REGULAR RINGS (1997) (1)
Appendix: Introductory set theory (1973) (0)
CYCLIC INJECTIVE MODULES OF FULL LINEAR RINGS1 (2010) (0)
Journal of Algebra Algebra Editor-in-chief: Graham Higman Contents of Volume 70 (0)
Asymptotic Sequences and Flees Rings (1984) (0)
On Divisible Modules over Valuation Domains* (2003) (0)
Remarks on the projective dimension of ℵ-unions (1979) (0)
Review: David J. Winter, The structure of fields (1975) (0)
Independent Elements and Asymptotic Sequences (1982) (0)
Book Review: Equivalence and duality for module categories, with tilting and cotilting for rings (2007) (0)
Projective Dimensions of Ideals of Prufer Domains (1984) (0)
Introductory ring and category theory (1973) (0)
Weak global dimension of endomorphism rings of free modules (1982) (0)
Advanced Problems: 6132-6137 (1977) (0)
Advanced Problems: 5480-5489 (1967) (0)
A NOTE ON OSOFSKY-SMITH THEOREM∗ (2005) (0)

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