Results 31 to 40 of about 28,060 (225)
Faithful Noetherian Modules [PDF]
Proceedings of the American Mathematical Society, 1973 The Eakin-Nagata theorem says that if T T is a commutative Noetherian ring which is finitely generated as a module over a subring R R , then R R is also Noetherian. This paper proves a generalization of this result.
openaire +2 more sources
Some results on top local cohomology modules with respect to a pair of ideals [PDF]
Mathematica Bohemica, 2020 Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonzero finitely generated $R$-module. We study the relation between the vanishing of $H_{I,J}^{\dim M}(M)$ and the comparison of certain ideal topologies.
Saeed Jahandoust, Reza Naghipour
doaj +1 more source
Gr\"obner methods for representations of combinatorial categories [PDF]
, 2016 Given a category C of a combinatorial nature, we study the following fundamental question: how does the combinatorial behavior of C affect the algebraic behavior of representations of C? We prove two general results.
Sam, Steven V, Snowden, Andrew
core +1 more source
Hubungan antara Daerah Ideal Utama, Daerah Faktorisasi Tunggal dan Gelanggang Noetherian
MUST: Journal of Mathematics Education, Science and Technology, 2019 Setiap daerah ideal utama merupakan daerah faktorisasi tunggal, namun tidak berlaku sebaliknya. Ketidakberlakuan hubungan sebaliknya dari daerah faktorisasi tunggal dan daerah ideal utama dapat ditunjukkan dengan adanya contoh penyangkal.
Eka Susilowati
doaj +1 more source
, 2008 Let X be a projective variety, $\sigma$ an automorphism of X, L a $\sigma$-ample invertible sheaf on X, and Z a closed subscheme of X. Inside the twisted homogeneous coordinate ring $B = B(X, L, \sigma)$, let I be the right ideal of sections vanishing at
Sierra, Susan J.
core +2 more sources
The Krull radical, k-primitive rings, and critical rings
International Journal of Mathematics and Mathematical Sciences, 1982 We generalize results on the Krull radical, k-primitive rings, and critical rings from rings with identity to rings which do not necessarily contain identity.
Ralph Tucci
doaj +1 more source
On stable noetherian rings [PDF]
Transactions of the American Mathematical Society, 1975 A ring R is called stable if every localizing subcategory of R M _R{\text {M}} is closed under taking injective envelopes. In this paper the stable noetherian rings are characterized in terms of the idempotent kernel functors of R
openaire +1 more source
International Journal of Computational Intelligence Systems, 2020 In this paper, by considering the notion of MV-modules, which is the structure that naturally correspond to lu-modules over lu-rings, we investigate some properties of a new kind of MV-modules, that we introduced in Borzooei and Saidi Goraghani, Free MV ...
S. Saidi Goraghani +3 more
doaj +1 more source
Canadian Mathematical Bulletin, 1976 In the latter part of the 1950’s some interesting papers appeared (e.g. [2] and [10]) which examined the relationships occurring between the purely algebraic and homological aspects of the theory of finitely generated modules over Noetherian rings. Many of these relationships remain valid if one considers the much wider class of rings determined by the
openaire +2 more sources
Acyclic Complexes and Graded Algebras
Mathematics, 2023 We already know that the noncommutative N-graded Noetherian algebras resemble commutative local Noetherian rings in many respects. We also know that commutative rings have the important property that every minimal acyclic complex of finitely generated ...
Chaoyuan Zhou
doaj +1 more source