Results 21 to 30 of about 783 (126)
, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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ON THE PRIME SPECTRUM OF A MODULE OVER A COMMUTATIVE NOETHERIAN RING
Honam Mathematical Journal, 2007 Let R be a commutative ring and let M be an R-module. Let X = Spec(M) be the prime spectrum of M with Zariski topology. Our main purpose in this paper is to specify the topological dimensions of X, where X is a Noetherian topological space, and compare them with those of topological dimensions of (M).
H. Ansari-Toroghy, R. Sarmazdeh-Ovlyaee
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Classifying subcategories of modules over a commutative noetherian ring [PDF]
Journal of the London Mathematical Society, 2008 Let R be a quotient ring of a commutative coherent regular ring by a finitely generated ideal. Hovey gave a bijection between the set of coherent subcategories of the category of finitely presented R-modules and the set of thick subcategories of the derived category of perfect R-complexes.
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Noetherian PI Rings not Module-Finite Over any Commutative Subring [PDF]
Proceedings of the American Mathematical Society, 1982 We construct a ring R R of 3 × 3 3 \times 3 matrices over k [ x , y , z ] k[x,y,z] which is prime, affine, Noetherian, and PI, but not finitely generated as a module nor integral over any commutative subring.
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, 2023 U ovom diplomskom radu napravljen je koncpet komuntativnih prstenova i modula. Nakon definiranja osnovnih pojmova i teorema iz teorije prstenova, baziramo se na komutativne prstenove i module.
Gavran, David
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When are the classes of Gorenstein modules (co)tilting?
Comptes Rendus. MathématiqueFor the class of Gorenstein projective (resp. injective and flat) modules, we investigate and settle the questions when the middle class is tilting and the other ones are cotilting. The applications have in three directions.
Wang, Junpeng +2 more
doaj +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Mathematische Nachrichten, Volume 299, Issue 9, Page 2436-2451, September 2026.ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source
Counting submodules of a module over a noetherian commutative ring
Journal of Algebra, 2019 We count the number of submodules of an arbitrary module over a countable noetherian commutative ring. We give, along the way, a structural description of meager modules, which are defined as those that do not have the square of a simple module as subquotient.
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The DGA of planar loops when 2n=4$2n=4$
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract The DGA of planar loops is a pictorial chain complex introduced in a recent paper of the author, Boyd, Randal‐Williams and Sroka, where a minimal model for it was given. In the first non‐trivial case, 2n=4$2n=4$, we give a new model which incorporates two natural ‘reflection’ involutions, as well as a more explicit description of the existing ...
Guy Boyde
wiley +1 more source
Secondary representations for injective modules over commutative Noetherian rings [PDF]
Proceedings of the Edinburgh Mathematical Society, 1976 There have been several recent accounts of a theory dual to the well-known theory of primary decomposition for modules over a (non-trivial) commutative ring A with identity: see (4), (2) and (9). Here we shall follow Macdonald's terminology from (4) and refer to this dual theory as “ secondary representation theory ”.
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