Results 41 to 50 of about 8,108,530 (300)
Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules [PDF]
, 2016 Let $H$ be a commutative semigroup with unit element such that every non-unit can be written as a finite product of irreducible elements (atoms). For every $k \in \mathbb N$, let $\mathscr U_k (H)$ denote the set of all $\ell \in \mathbb N$ with the ...
Yushuang Fan +3 more
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Noetherianity of some degree two twisted commutative algebras [PDF]
, 2015 The resolutions of determinantal ideals exhibit a remarkable stability property: for fixed rank but growing dimension, the terms of the resolution stabilize (in an appropriate sense). One may wonder if other sequences of ideals or modules over coordinate
Rohit Nagpal +2 more
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Trace Ideals and the Gorenstein Property [PDF]
Communications in Algebra, 2018 Let R be a local Noetherian commutative ring. We prove that R is an Artinian Gorenstein ring if and only if every ideal in R is a trace ideal. We discuss when the trace ideal of a module coincides with its double annihilator.
H. Lindo, N. Pande
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An exotic characterization of a commutative H*-algebra
International Journal of Mathematics and Mathematical Sciences, 2000 Commutative H*-algebra is characterized in terms of the property that the orthogonal complement of a right ideal is a left ideal.
Parfeny P. Saworotnow
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A note on a generalization of injective modules
Karpatsʹkì Matematičnì Publìkacìï, 2020 As a proper generalization of injective modules in term of supplements, we say that a module $M$ has the property (ME) if, whenever $M\subseteq N$, $M$ has a supplement $K$ in $N$, where $K$ has a mutual supplement in $N$. In this study, we obtain that $(
B.N. Türkmen, E. Türkmen
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Symmetric Monoidal Structure with Local Character is a Property [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 In previous work we proved that, for categories of free finite-dimensional modules over a commutative semiring, linear compact-closed symmetric monoidal structure is a property, rather than a structure.
Stefano Gogioso, Dan Marsden, Bob Coecke
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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, 2010 The classical Bochner-Schoenberg-Eberlein theorem characterizes the continuous functions on the dual group of a locally compact abelian group G which arise as Fourier-Stieltjes transforms of elements of the measure algebra M(G) of G.
E. Kaniuth, And Ali¨ulger
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Generalized notions of sparsity and restricted isometry property. Part I: a unified framework [PDF]
Information and Inference A Journal of the IMA, 2017 The restricted isometry property (RIP) is an integral tool in the analysis of various inverse problems with sparsity models. Motivated by the applications of compressed sensing and dimensionality reduction of low-rank tensors, we propose generalized ...
M. Junge, Kiryung Lee
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Subrings of I-rings and S-rings
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
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