Results 21 to 30 of about 618,863 (318)
Localizations of HNP rings [PDF]
Transactions of the American Mathematical Society, 1972 In this paper it is shown that every hereditary Noetherian prime ring is the intersection of a hereditary Noetherian prime ring having no invertible ideals with a bounded hereditary Noetherian prime ring in which every nonzero two-sided ideal contains an invertible two-sided ideal.
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Finiteness in derived categories of local rings [PDF]
, 2005 New homotopy invariant finiteness conditions on modules over commutative rings are introduced, and their properties are studied systematically. A number of finiteness results for classical homological invariants like flat dimension, injective dimension ...
Dwyer, W. +2 more
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Proceedings of the American Mathematical Society, 1963 This paper generalizes slightly a result of Kunz [1 ] and Nakai [2]. If R> S are commutative rings with identity we introduce a module D*(R/S) defined as the quotient of the module D(R/S) of S differentials of R by the submodule consisting of elements which are mapped to zero by every homomorphism of D(R/S) having values in a finitely generated R ...
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Ring-originated anisotropy of local structural ordering in amorphous and crystalline silicon dioxide
Communications Materials, 2023 Rings comprising chemically bonded atoms are essential topological motifs for the structural ordering of network-forming materials. Quantification of such larger motifs beyond short-range pair correlation is essential for understanding the linkages ...
Motoki Shiga +3 more
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Proceedings of the American Mathematical Society, 1982 In this paper we introduce the notion of a strict local ring. A local Cohen-Macaulay ring ( B , m ) (B,m) is called strict if, whenever a local ring ( A , n ) (A,n) specializes by a regular sequence to B B , then the associated ...
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The Graph of Annihilating Ideals [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2018 Let R be a commutative ring with identity and AG(R) be the set of ideals with non-zero annihilators. The annihilating ideal graph AG(R) is a graph of vertex set AG (R){(0)} and two distinct ideal vertices I and J are adjacent if and ...
Nazar Shuker, Fryad Abdulqadir
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Comptes Rendus. Mathématique, 2020 We prove Gersten’s conjecture for étale cohomology over two dimensional henselian regular local rings without assuming equi-characteristic. As an application, we obtain the local-global principle for Galois cohomology over mixed characteristic two ...
Sakagaito, Makoto
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Unitary groups over local rings
, 2013 Structural properties of unitary groups over local, not necessarily commutative, rings are developed, with applications to the computation of the orders of these groups (when finite) and to the degrees of the irreducible constituents of the Weil ...
Cruickshank, J. +3 more
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Nagoya Mathematical Journal, 1966 Many questions about free ideal rings ( = firs, cf. [5] and §2 below) which at present seem difficult become much easier when one restricts attention to local rings. One is then dealing with hereditary local rings, and any such ring is in fact a fir (§2). Our object thus is to describe hereditary local rings. The results on firs in [5] show that such a
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On the properties of weak CM rings
上海师范大学学报. 自然科学版, 2022 In this paper, we mainly study the properties of weak CM rings. It is a special class of Noetherian commutative rings, including Cohen-Macaulay rings, excellent rings and generalized Cohen-Macaulay rings, which can be characterized by local cohomology ...
XUE Wensi, ZHOU Caijun
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