Results 31 to 40 of about 172 (46)

Zero-Dimensionality and Serre Rings [PDF]

, 2004
2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R is expressible as a directed union of Artinian ...
Karim, D.
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Alguns resultats clàssics de l'àlgebra commutativa [PDF]

, 2013
Aquest és un treball d'Àlgebra Commutativa. S'assumeixen des del principi coneixements d'àlgebra molt bàsics. S'introdueixen primer els conceptes d'anell i d'ideal i es desenvolupen fins a arribar als dos primers resultats del treball: el Lema d'evitació
Soria Fuentes, Crhistel
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On the set of subrings wich are directed unions of Artinian subrings [PDF]

, 2005
The paper contributes to the investigation of zero-dimensional rings which can be written as a directed union of Artinian subrings.
Karim, Darioush, Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica, Zarzuela, Santiago   +2 more
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Extending abelian groups to rings

, 2007
For any abelian group G and any function f : G → G we define a commutative binary operation or `multiplication\u27 on G in terms of f. We give necessary and sufficient conditions on f for G to extend to a commutative ring with the new multiplication.
Batten, Lynn, Coulter, Robert S., Henderson, Marie   +2 more
core   +1 more source

On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite.
Mahdou Najib, Oubouhou El Houssaine, Celikel Ece Yetkin   +2 more
doaj   +1 more source

Boij-S\"{o}derberg Decompositions of Lex-segment Ideals [PDF]

, 2015
Boij-S\"oderberg theory describes the scalar multiples of Betti diagrams of graded modules over a polynomial ring as a linear combination of pure diagrams with positive coefficients.
Gunturkun, Sema
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Strong resolving graph of the intersection graph in commutative rings

, 2023
The intersection graph of ideals associated with a commutative unitary ring $R$ is the graph $G(R)$ whose vertices all non-trivial ideals of $R$ and there exists an edge between distinct vertices if and only if the intersection of them is non-zero.
Dodongeh, E., Moussavi, A., Nikandish, R.   +2 more
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Independent sets of some graphs associated to commutative rings

, 2013
Let $G=(V,E)$ be a simple graph. A set $S\subseteq V$ is independent set of $G$, if no two vertices of $S$ are adjacent. The independence number $\alpha(G)$ is the size of a maximum independent set in the graph.
Communicated A. R. Ashrafi, Saeed Mirvakili, Saeid Alikhani   +2 more
core   +1 more source

Homogeneous Weights and M\"obius Functions on Finite Rings [PDF]

, 2013
The homogeneous weights and the M\"obius functions and Euler phi-functions on finite rings are discussed; some computational formulas for these functions on finite principal ideal rings are characterized; for the residue rings of integers, they are ...
Fan, Yun, Liu, Hongwei
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U-factorizations in Commutative Rings with Zero Divisors [PDF]

, 2017
Let R be a commutative ring with identity. We define an alternate method of factorization, called a U-factorization, and extend several finite factorization characterizations to U ...
Roersma, Nicholas
core   +1 more source