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Cardinality of generating sets for modules over a commutative ring.

Robert Gilmer, William Heinzer (1983)

Mathematica Scandinavica

Chains of factorizations in weakly Krull domains

Alfred Geroldinger (1997)

Colloquium Mathematicae

Characterizations of some rings with $𝒞$ -projective, $𝒞$ -(FP)-injective and $𝒞$ -flat modules

Xiao Guang Yan, Xiao Sheng Zhu (2011)

Czechoslovak Mathematical Journal

Let $R$ be a commutative ring and $𝒞$ a semidualizing $R$ -module. We investigate the relations between $𝒞$ -flat modules and $𝒞$ -FP-injective modules and use these modules and their character modules to characterize some rings, including artinian, noetherian and coherent rings.

Cofiniteness and finiteness of local cohomology modules over regular local rings

Jafar A'zami, Naser Pourreza (2017)

Czechoslovak Mathematical Journal

Let $(R, 𝔪)$ be a commutative Noetherian regular local ring of dimension $d$ and $I$ be a proper ideal of $R$ such that ${mAss}_{R} (R / I) = {Assh}_{R} (I)$ . It is shown that the $R$ -module $H_{I}^{ht (I)} (R)$ is $I$ -cofinite if and only if $cd (I, R) = ht (I)$ . Also we present a sufficient condition under which this condition the $R$ -module $H_{I}^{i} (R)$ is finitely generated if and only if it vanishes.

Cofiniteness of torsion functors of cofinite modules

Reza Naghipour, Kamal Bahmanpour, Imaneh Khalili Gorji (2014)

Colloquium Mathematicae

Let R be a Noetherian ring and I an ideal of R. Let M be an I-cofinite and N a finitely generated R-module. It is shown that the R-modules $T o r_{i}^{R} (N, M)$ are I-cofinite for all i ≥ 0 whenever dim Supp(M) ≤ 1 or dim Supp(N) ≤ 2. This immediately implies that if I has dimension one (i.e., dim R/I = 1) then the R-modules $T o r_{i}^{R} (N, H_{I}^{j} (M))$ are I-cofinite for all i,j ≥ 0. Also, we prove that if R is local, then the R-modules $T o r_{i}^{R} (N, M)$ are I-weakly cofinite for all i ≥ 0 whenever dim Supp(M) ≤ 2 or dim Supp(N) ≤ 3. Finally, it is shown that...

Cohen-Macaulayness of multiplication rings and modules

R. Naghipour, H. Zakeri, N. Zamani (2003)

Colloquium Mathematicae

Let R be a commutative multiplication ring and let N be a non-zero finitely generated multiplication R-module. We characterize certain prime submodules of N. Also, we show that N is Cohen-Macaulay whenever R is Noetherian.

Comportement des $μ_{i}$ de Bass dans les extensions plates

Michel Paugam (1974/1975)

Séminaire Dubreil. Algèbre et théorie des nombres

Condition $G_{q}$ d’Ischebeck-Auslander et condition $S_{q}$ de Serre

Michel Paugam (1972/1973)

Séminaire Dubreil. Algèbre et théorie des nombres

Conductive Integral Domains as Pullbacks.

V. Barucci, D.E. Dobbs, M. Fontana (1986)

Manuscripta mathematica

Conservation des propriétés des fibres formelles d'un anneau semi-local noethérien par complétion adique

Jean Marot (1980)

Publications mathématiques et informatique de Rennes

Conservation of the noetherianity by perfect transcendental field extensions.

Magdalena Fernández Lebrón, Luis Narváez Macarro (2003)

Revista Matemática Iberoamericana

Construction of a controller with a generalized linear immersion

Javier Diaz-Vargas, Dennis Tuyub-Puc, Celia Villanueva-Novelo (2011)

Kybernetika

Gröbner bases for modules are used to calculate a generalized linear immersion for a plant whose solutions to its regulation equations are polynomials or pseudo-polynomials. After calculating the generalized linear immersion, we build the controller which gives the robust regulation.

Constructions of finitely generated submodules of constructively noetherian modules

Wim Ruitenburg (1987)

Compositio Mathematica

Correction to: Maximal orders of global dimension and Krull dimension two.

M. Artin (1987)

Inventiones mathematicae

Currently displaying 1 – 14 of 14

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