# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 108 Publications since 1961, including 1 Book
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#### Co-Authors

 56 single-authored 7 Sankaran, Parameswaran 6 Deo, Satya 5 Sarath, Bharat 4 Haghany, Ahmad 4 Nicholson, W. Keith 3 Wehrhahn, Karl H. 2 Antonelli, Peter Louis 2 Halbhavi, I. G. 2 Mbuntum, F. F. 1 Azumaya, Goro 1 Berrick, A. Jon 1 Breckenridge, J. W. 1 Bryden, John M. 1 Desale, G. B. 1 Gupta, Anil Kumar 1 Kudryavtseva, Elena A. 1 Mislin, Guido 1 Rege, Mangesh B. 1 Sankaran, N. 1 Wani, P. R. 1 Zhou, Yiqiang 1 Zvengrowski, Peter D.
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#### Serials

 16 Communications in Algebra 9 Acta Mathematica Hungarica 8 Journal of Pure and Applied Algebra 7 Canadian Journal of Mathematics 6 Pacific Journal of Mathematics 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 The Journal of the Indian Mathematical Society. New Series 3 Proceedings of the American Mathematical Society 2 Discrete Mathematics 2 Archiv der Mathematik 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 The Mathematics Student 2 Publicacions Matemàtiques 2 Journal of the Ramanujan Mathematical Society 2 National Academy Science Letters 1 Bulletin of the Australian Mathematical Society 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Glasgow Mathematical Journal 1 Indian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Quaestiones Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Algebra Colloquium 1 Annals of Mathematics. Second Series 1 JP Journal of Geometry and Topology 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Algebra and its Applications 1 Journal of Mathematics and Mechanics 1 Canadian Mathematical Society Series of Monographs and Advanced Texts
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#### Fields

 50 Associative rings and algebras (16-XX) 21 Manifolds and cell complexes (57-XX) 20 Algebraic topology (55-XX) 14 Group theory and generalizations (20-XX) 8 Commutative algebra (13-XX) 8 Category theory; homological algebra (18-XX) 7 General topology (54-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 2 $$K$$-theory (19-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH

75 Publications have been cited 462 times in 328 Documents Cited by Year
Dual Goldie dimension. Zbl 0487.16019
1979
Study of formal triangular matrix rings. Zbl 0941.16005
1999
Countable linear transformations are clean. Zbl 0905.16009
1998
Dual Goldie dimension. II. Zbl 0487.16020
1979
Study of modules over formal triangular matrix rings. Zbl 0951.16009
2000
Hopfian and co-Hopfian objects. Zbl 0792.16009
1992
On M-projective and M-injective modules. Zbl 0316.16027
Azumaya, G.; Mbuntum, F.; Varadarajan, K.
1975
Aperiodic rings, necklace rings, and Witt vectors. Zbl 0722.05010
1990
A generalization of Hilbert’s basis theorem. Zbl 0495.16009
1982
Isometric shift operators on $$C(X)$$. Zbl 0816.47032
1994
Generalised Gottlieb groups. Zbl 0199.26501
1969
Clean endomorphism rings. Zbl 1067.16051
Nicholson, W. K.; Varadarajan, K.; Zhou, Y.
2004
Generalized power series modules. Zbl 0988.16035
2001
On fibrations and category. Zbl 0163.17905
1965
Modules over endomorphism rings. Zbl 0442.16021
1980
Groups for which Moore spaces $$M(\pi,1)$$ exist. Zbl 0149.20103
1966
Noetherian generalized power series rings and modules. Zbl 1005.16043
2001
Properties of endomorphism rings. Zbl 0927.16025
1997
Modules with supplements. Zbl 0425.16024
1979
Injectivity of direct sums. Zbl 0285.16022
1974
IBN and related properties for rings. Zbl 1012.16007
2002
Some recent results on Hopficity, co-Hopficity and related properties. Zbl 0984.16031
2001
Rings with all modules residually finite. Zbl 0944.16020
1999
Dimension, category and $$K(\Pi,n)$$ spaces. Zbl 0107.16703
1961
Formally real rings and their real closure. Zbl 0856.13003
1996
Residual finiteness in rings and modules. Zbl 0835.16017
1993
1977
Anti Hopfian and anti co-Hopfian modules. Zbl 1149.16006
2008
Group actions on flag manifolds and cobordism. Zbl 0818.57019
1993
Acyclicity of certain homeomorphism groups. Zbl 0711.57022
1990
Aperiodic rings, necklace rings and Witt vectors. II. Zbl 0748.05007
1989
Pseudo-mitotic groups. Zbl 0569.20039
1985
Fundamental theorem of projective geometry. Zbl 0545.16010
1984
Dual Goldie dimension of certain extension rings. Zbl 0495.16011
1982
On a theorem of Shock. Zbl 0495.16010
1982
Study of certain radicals. Zbl 0346.16008
1976
Numerical invariants in homotopical algebra. II: Applications. Zbl 0368.55008
1975
Injectivity of certain classes of modules. Zbl 0293.16025
1974
Clean, almost clean, potent commutative rings. Zbl 1152.13006
2007
Study of Hopficity in certain classes of rings. Zbl 0952.16011
2000
On Hopfian rings. Zbl 0930.16003
1999
Hopfian and co-Hopfian groups. Zbl 0890.20028
1997
Binate towers of groups. Zbl 0815.20015
1994
Modules over endomorphism rings. II. Zbl 0708.16001
1989
Generalized V-rings and torsion theories. Zbl 0588.16022
1986
The finiteness obstructions for nilpotent spaces lie in $$D(Z\pi)$$. Zbl 0399.55016
1979
Some finiteness properties of groups and their automorphism groups. Zbl 0977.20030
Deo, S.; Sankaran, P.; Varadarajan, K.
2000
Perfect modules. Zbl 0905.16006
1998
Witt vectors which are rational functions. Zbl 0788.19003
1993
A note on the Hopficity of $$M[X]$$ or $$M[[X]]$$. Zbl 0925.16019
1992
On unit solutions of the equation $$xyz=x+x+z$$ in the ring of integers of a quadratic field. Zbl 0576.10009
Mollin, R. A.; Small, C.; Varadarajan, K.; Walsh, P. G.
1987
p-injectivity of simple pre-torsion modules. Zbl 0594.16019
1986
Study of certain pre-radicals. Zbl 0425.16009
1980
Finiteness obstruction for nilpotent spaces. Zbl 0376.55010
1978
Divisibility of direct sums in torsion theories. Zbl 0328.16025
1976
Gottlieb sets and duality in homotopy theory. Zbl 0358.55015
1975
Analogues of IBN and related properties for modules. Zbl 1169.16002
2008
Formal triangular matrix rings and modules over them – a survey. Zbl 1185.16032
2007
Criteria for the asphericity of 2-complexes. Zbl 1026.57003
2002
Matricial repetitiveness and strong $$\pi$$-regularity of the ring of a Morita context. Zbl 0985.16009
2000
Discrete groups and discontinuous actions. Zbl 0897.57025
1997
Hopfian and co-Hopfian zero-dimensional spaces. Zbl 0816.54028
1994
On certain homeomorphism groups. Zbl 0843.57033
1994
Isomorphic Burnside rings. Zbl 0735.19002
1991
Verschiebung and Frobenius operators. Zbl 0706.13021
1990
The finiteness obstruction of C. T. C. Wall. Zbl 0753.57002
1989
Some remarks on pseudo-mitotic groups. Zbl 0669.20045
1987
Projective approximations. Zbl 0545.55021
1984
Extension of a result of Beachy and Blair. Zbl 0489.16001
1982
Chain conditions and pure-exactness. Zbl 0376.16029
1977
M-projective and strongly M-projective modules. Zbl 0331.16021
1976
Span and stably trivial bundles. Zbl 0319.55026
1975
On MS-fiberings of manifolds with finite singular sets. Zbl 0311.55014
1975
On a certain problem of realization in homotopy theory. Zbl 0253.55010
1974
On a conjecture of Milnor. Zbl 0172.25104
1969
Anti Hopfian and anti co-Hopfian modules. Zbl 1149.16006
2008
Analogues of IBN and related properties for modules. Zbl 1169.16002
2008
Clean, almost clean, potent commutative rings. Zbl 1152.13006
2007
Formal triangular matrix rings and modules over them – a survey. Zbl 1185.16032
2007
Clean endomorphism rings. Zbl 1067.16051
Nicholson, W. K.; Varadarajan, K.; Zhou, Y.
2004
IBN and related properties for rings. Zbl 1012.16007
2002
Criteria for the asphericity of 2-complexes. Zbl 1026.57003
2002
Generalized power series modules. Zbl 0988.16035
2001
Noetherian generalized power series rings and modules. Zbl 1005.16043
2001
Some recent results on Hopficity, co-Hopficity and related properties. Zbl 0984.16031
2001
Study of modules over formal triangular matrix rings. Zbl 0951.16009
2000
Study of Hopficity in certain classes of rings. Zbl 0952.16011
2000
Some finiteness properties of groups and their automorphism groups. Zbl 0977.20030
Deo, S.; Sankaran, P.; Varadarajan, K.
2000
Matricial repetitiveness and strong $$\pi$$-regularity of the ring of a Morita context. Zbl 0985.16009
2000
Study of formal triangular matrix rings. Zbl 0941.16005
1999
Rings with all modules residually finite. Zbl 0944.16020
1999
On Hopfian rings. Zbl 0930.16003
1999
Countable linear transformations are clean. Zbl 0905.16009
1998
Perfect modules. Zbl 0905.16006
1998
Properties of endomorphism rings. Zbl 0927.16025
1997
Hopfian and co-Hopfian groups. Zbl 0890.20028
1997
Discrete groups and discontinuous actions. Zbl 0897.57025
1997
Formally real rings and their real closure. Zbl 0856.13003
1996
Isometric shift operators on $$C(X)$$. Zbl 0816.47032
1994
Binate towers of groups. Zbl 0815.20015
1994
Hopfian and co-Hopfian zero-dimensional spaces. Zbl 0816.54028
1994
On certain homeomorphism groups. Zbl 0843.57033
1994
Residual finiteness in rings and modules. Zbl 0835.16017
1993
Group actions on flag manifolds and cobordism. Zbl 0818.57019
1993
Witt vectors which are rational functions. Zbl 0788.19003
1993
Hopfian and co-Hopfian objects. Zbl 0792.16009
1992
A note on the Hopficity of $$M[X]$$ or $$M[[X]]$$. Zbl 0925.16019
1992
Isomorphic Burnside rings. Zbl 0735.19002
1991
Aperiodic rings, necklace rings, and Witt vectors. Zbl 0722.05010
1990
Acyclicity of certain homeomorphism groups. Zbl 0711.57022
1990
Verschiebung and Frobenius operators. Zbl 0706.13021
1990
Aperiodic rings, necklace rings and Witt vectors. II. Zbl 0748.05007
1989
Modules over endomorphism rings. II. Zbl 0708.16001
1989
The finiteness obstruction of C. T. C. Wall. Zbl 0753.57002
1989
On unit solutions of the equation $$xyz=x+x+z$$ in the ring of integers of a quadratic field. Zbl 0576.10009
Mollin, R. A.; Small, C.; Varadarajan, K.; Walsh, P. G.
1987
Some remarks on pseudo-mitotic groups. Zbl 0669.20045
1987
Generalized V-rings and torsion theories. Zbl 0588.16022
1986
p-injectivity of simple pre-torsion modules. Zbl 0594.16019
1986
Pseudo-mitotic groups. Zbl 0569.20039
1985
Fundamental theorem of projective geometry. Zbl 0545.16010
1984
Projective approximations. Zbl 0545.55021
1984
A generalization of Hilbert’s basis theorem. Zbl 0495.16009
1982
Dual Goldie dimension of certain extension rings. Zbl 0495.16011
1982
On a theorem of Shock. Zbl 0495.16010
1982
Extension of a result of Beachy and Blair. Zbl 0489.16001
1982
Modules over endomorphism rings. Zbl 0442.16021
1980
Study of certain pre-radicals. Zbl 0425.16009
1980
Dual Goldie dimension. Zbl 0487.16019
1979
Dual Goldie dimension. II. Zbl 0487.16020
1979
Modules with supplements. Zbl 0425.16024
1979
The finiteness obstructions for nilpotent spaces lie in $$D(Z\pi)$$. Zbl 0399.55016
1979
Finiteness obstruction for nilpotent spaces. Zbl 0376.55010
1978
1977
Chain conditions and pure-exactness. Zbl 0376.16029
1977
Study of certain radicals. Zbl 0346.16008
1976
Divisibility of direct sums in torsion theories. Zbl 0328.16025
1976
M-projective and strongly M-projective modules. Zbl 0331.16021
1976
On M-projective and M-injective modules. Zbl 0316.16027
Azumaya, G.; Mbuntum, F.; Varadarajan, K.
1975
Numerical invariants in homotopical algebra. II: Applications. Zbl 0368.55008
1975
Gottlieb sets and duality in homotopy theory. Zbl 0358.55015
1975
Span and stably trivial bundles. Zbl 0319.55026
1975
On MS-fiberings of manifolds with finite singular sets. Zbl 0311.55014
1975
Injectivity of direct sums. Zbl 0285.16022
1974
Injectivity of certain classes of modules. Zbl 0293.16025
1974
On a certain problem of realization in homotopy theory. Zbl 0253.55010
1974
Generalised Gottlieb groups. Zbl 0199.26501
1969
On a conjecture of Milnor. Zbl 0172.25104
1969
Groups for which Moore spaces $$M(\pi,1)$$ exist. Zbl 0149.20103
1966
On fibrations and category. Zbl 0163.17905
1965
Dimension, category and $$K(\Pi,n)$$ spaces. Zbl 0107.16703
1961
all top 5

all top 5

#### Cited in 77 Serials

 81 Communications in Algebra 25 Journal of Algebra 22 Journal of Pure and Applied Algebra 15 Topology and its Applications 12 Proceedings of the American Mathematical Society 9 Glasgow Mathematical Journal 9 Journal of Algebra and its Applications 7 Transactions of the American Mathematical Society 6 Journal of Mathematical Analysis and Applications 6 Acta Mathematica Hungarica 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Algebra Colloquium 6 Journal of Mathematical Sciences (New York) 5 Bulletin of the Australian Mathematical Society 5 Mathematische Zeitschrift 4 Czechoslovak Mathematical Journal 4 Siberian Mathematical Journal 4 Linear Algebra and its Applications 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Archiv der Mathematik 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Soviet Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Journal of Number Theory 2 Manuscripta Mathematica 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Bulletin of the Korean Mathematical Society 2 Bulletin of the Iranian Mathematical Society 2 Forum Mathematicum 2 Applied Categorical Structures 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Acta Mathematica Sinica. English Series 2 Algebraic & Geometric Topology 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Ukrainian Mathematical Journal 1 Algebra and Logic 1 Algebra Universalis 1 Applied Mathematics and Computation 1 Automatica 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Compositio Mathematica 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of Multivariate Analysis 1 Kodai Mathematical Journal 1 Quaestiones Mathematicae 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 European Journal of Combinatorics 1 International Journal of Mathematics 1 Russian Mathematics 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Arab Journal of Mathematical Sciences 1 Geometry & Topology 1 Algebras and Representation Theory 1 Journal of the Australian Mathematical Society 1 Iranian Journal of Science and Technology. Transaction A: Science 1 JP Journal of Algebra, Number Theory and Applications 1 Algebra and Discrete Mathematics 1 Mediterranean Journal of Mathematics 1 Journal of Commutative Algebra 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Bulletin of Mathematical Sciences 1 ISRN Algebra 1 Palestine Journal of Mathematics 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Asia Pacific Journal of Mathematics
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#### Cited in 31 Fields

 216 Associative rings and algebras (16-XX) 40 Algebraic topology (55-XX) 37 Commutative algebra (13-XX) 29 Group theory and generalizations (20-XX) 25 Category theory; homological algebra (18-XX) 21 Manifolds and cell complexes (57-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 13 $$K$$-theory (19-XX) 13 General topology (54-XX) 12 Functional analysis (46-XX) 12 Operator theory (47-XX) 11 Combinatorics (05-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 6 Mathematical logic and foundations (03-XX) 6 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

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