Results 41 to 50 of about 30,075 (226)
Right noetherian semigroups [PDF]
International Journal of Algebra and Computation, 2019 A semigroup [Formula: see text] is right noetherian if every right congruence on [Formula: see text] is finitely generated. In this paper, we present some fundamental properties of right noetherian semigroups, discuss how semigroups relate to their substructures with regard to the property of being right noetherian, and investigate whether this ...
Miller, Craig, Ruskuc, Nik
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Classifying Serre subcategories via atom spectrum [PDF]
, 2012 In this paper, we introduce the atom spectrum of an abelian category as a topological space consisting of all the equivalence classes of monoform objects.
Benson +12 more
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Duality Theorems for Crossed Products over Rings [PDF]
, 2005 In this note we extend duality theorems for crossed products obtained by M. Koppinen and C. Chen from the case of a base field or a Dedekind domain to the case of an arbitrary noetherian commutative ground ring under fairly weak conditions. In particular
Abuhlail, Jawad Y.
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NOETHERIAN HOPF ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2013 AbstractA brief survey of some aspects of noetherian Hopf algebras is given, concentrating on structure, homology, and classification, and accompanied by a panoply of open problems.
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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
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Noetherian and Artinian ordered groupoids—semigroups
International Journal of Mathematics and Mathematical Sciences, 2005 Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959.
Niovi Kehayopulu, Michael Tsingelis
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Semistar Dedekind Domains [PDF]
, 2004 Let $D$ be an integral domain and $\star$ a semistar operation on $D$. As a generalization of the notion of Noetherian domains to the semistar setting, we say that $D$ is a $\star$--Noetherian domain if it has the ascending chain condition on the set of ...
Baghdadi, Said El +2 more
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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
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Noetherianity up to Symmetry [PDF]
, 2014 To appear in Springer's LNM C.I.M.E.
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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
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