Results 111 to 120 of about 737,584 (193)
Topics in commutative ring theory
, 2009 Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.Commutative ring theory arose more than a ...
Watkins, John J, Watkins, John J J
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The total graph and regular graph of a commutative ring
, 2009 Let R be a commutative ring. The total graph of R, denoted by T(Γ(R)) is a graph with all elements of R as vertices, and two distinct vertices x,y∈R, are adjacent if and only if x+y∈Z(R), where Z(R) denotes the set of zero-divisors of R.
Moradi, S. +4 more
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Projective Modules and Polynomials over the Hurwitz Quaternions
MathematicsA theorem of Sheshadri (Proc. Nat. Acad. Sci. USA 44 (1958) 456–458) shows that, when Λ is a commutative principal ideal domain, finitely generated projective modules over the polynomial ring Λ[t] are all free. The ring Γ of Hurwitz quaternions, that is,
Francis E. A. Johnson
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A commutative Bezout PM* domain is an elementary divisor ring
, 2015 We prove that any commutative Bezout PM∗ domain is an elementary divisor ...
Zabavsky, B., Gatalevych, A.
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GALOIS THEORY OF FINITE COMMUTATIVE RING AND ARTIN SYMBOL
, 1988 In a finite commutative ring, we show that artin symbol which replaces the frobenius map in a finite field can be defined as an image of artin map on a grothendieck group.
이향숙
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The representation ring of the structure group of the relative Frobenius morphism [PDF]
, 2010 Severitt M. The representation ring of the structure group of the relative Frobenius morphism.
Severitt, Markus
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The algebra of a commutative semigroup over a commutative ring with unity
, 1985 SynopsisA new description is provided for the nil radical of the algebra RS of a commutative semigroup S over a commutative ring R with a 1. It is shown that the Jacobson radical of RS is nil if the Jacobson radical of R is nil and that the converse ...
W. D. Munn
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Commutative ring theory proceedings of the II international conference
, 1997 Presenting the proceedings of the recently held Second International Conference on Commutative Ring Theory in Fes, Morocco, this up-to-date reference details the latest developments in commutative algebra - highlighting the theory of rings and ideals ...
Cahen, Paul-Jean
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Uniformly Secondary Modules over Commutative Ring
پژوهشهای ریاضی, 2017 In [2] the notion of “uniformly ideal” was introduced and developed the basic theory. In this article we introduce and advance a theory which, in a sense, dual to that i.e, the notion of “uniformly secondary module”.
A.J Taherizadeh
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On Commutative SCI-Rings and Commutative SCS-Rings
, 2010 . Let R be a commutative ring. An unital R-module M is said to have property (I) (resp. property (S)) if every injective (resp. surjective) endomorphism of M is an automorphism. The ring R is called commutative SCI-ring (resp. SCS-ring) if every R-module
Touré +3 more
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