Results 41 to 50 of about 8,427,358 (293)
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
doaj +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
Commutative Quaternion Matrices [PDF]
, 2013 In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilton matrices. After that we investigate commutative quaternion matrices using properties of complex matrices.
arxiv +1 more source
, 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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source