Results 91 to 100 of about 335,227 (157)
Weakly periodic and subweakly periodic rings
International Journal of Mathematics and Mathematical Sciences, 2003 Our objective is to study the structure of subweakly periodic rings with a particular emphasis on conditions which imply that such rings are commutative or have a nil commutator ideal.
Amber Rosin, Adil Yaqub
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Commutative monoid rings as Hilbert rings [PDF]
Proceedings of the American Mathematical Society, 1985 Assume that R is a commutative unitary ring and that S is a cancellative monoid with quotient group G. Let \(\alpha\) be the torsion-free rank of G and let \(X=\{X_ i\}\) be a set of \(\alpha\) indeterminates over R. We prove that the monoid ring R[S], the group ring R[G], and the polynomial ring R[X] are simultaneously Hilbert rings. In particular, if
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MODULES OVER NON-COMMUTATIVE VALUATION RINGS
, 2020 In this note, we report some results about finitely generated modules over non-commutative valuation rings. At first, we introduce some non-commutative valuation rings.
Akira Ueda
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A note on co-maximal graphs of commutative rings
AKCE International Journal of Graphs and Combinatorics, 2018 Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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, 1995 Based on the recent John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory held at The University of Tennessee, Knoxville, this outstanding reference presents the latest advances in zero-dimensional commutative rings and commutative ...
John H. Barrett Memorial Lectures and Conference on Commutative Ring Theory 1994 Knoxville, Tenn. +1 more
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Prime Ideals in Commutative Rings [PDF]
, 1970 This thesis is a study of some properties of prime ideals in commutative rings with ...
Clayton, Marlene H.
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On the commutativity of near-rings III [PDF]
Bulletin of the Australian Mathematical Society, 1972 Part of the recent work on near-rings has been concerned with sufficient conditions for near-rings to be commutative. Recently Howard E. Bell proved that if a d.g. near-ring R has an identity and for each x, y in R, there exists an n(x, y) > 1, such that (xy−yx)n(x, y) = xy − yx, then R is a commutative ring.
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On Non-Commutative Multi-Rings with Involution
MathematicsThe primary motivation for this work is to develop the concept of Marshall’s quotient applicable to non-commutative multi-rings endowed with involution, expanding upon the main ideas of the classical case—commutative and without involution—presented in ...
Kaique M. A. Roberto +2 more
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On Commutative Reduced Baer Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2004 It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
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