Results 1 to 10 of about 288 (50)
On the number of terms in the middle of almost split sequences over cycle-finite artin algebras [PDF]
Open Mathematics, 2014 We prove that the number of terms in the middle of an almost split sequence in the module category of a cycle-finite artin algebra is bounded by ...
Malicki Piotr +2 more
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The Cohen-Macaulay representation type of arithmetically Cohen-Macaulay varieties [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that all reduced closed subschemes of projective space that have a Cohen-Macaulay graded coordinate ring are of wild Cohen-Macaulay type, except for a few cases which we completely classify.
Daniele Faenzi, Joan Pons-Llopis
doaj +1 more source
Locally adequate semigroup algebras
Open Mathematics, 2016 We build up a multiplicative basis for a locally adequate concordant semigroup algebra by constructing Rukolaĭne idempotents. This allows us to decompose the locally adequate concordant semigroup algebra into a direct product of primitive abundant 0-J*$0{
Ji Yingdan, Luo Yanfeng
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Representation type via Euler characteristics and singularities of quiver Grassmannians
Bulletin of the London Mathematical Society, Volume 51, Issue 5, Page 815-835, October 2019., 2019 Abstract In this paper, we characterize the representation type of an acyclic quiver by the properties of its associated quiver Grassmannians. This characterization utilizes and extends known results about singular quiver Grassmannians and cell decompositions into affine spaces.
Oliver Lorscheid, Thorsten Weist
wiley +1 more source
Wildness of the problems of classifying two-dimensional spaces of commuting linear operators and certain Lie algebras [PDF]
, 2017 For each two-dimensional vector space $V$ of commuting $n\times n$ matrices over a field $\mathbb F$ with at least 3 elements, we denote by $\widetilde V$ the vector space of all $(n+1)\times(n+1)$ matrices of the form $\left[\begin{smallmatrix}A&*\\0&0 ...
Futorny, Vyacheslav +3 more
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Algebras of right ample semigroups
Open Mathematics, 2018 Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
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THE DIMENSION OF A SUBCATEGORY OF MODULES
Forum of Mathematics, Sigma, 2015 Let $R$ be a commutative noetherian local ring. As an analog of the notion of the dimension of a triangulated category defined by Rouquier, the notion of the dimension of a subcategory of finitely generated $R$-modules is introduced in this paper.
HAILONG DAO, RYO TAKAHASHI
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A Construction of Metabelian Groups
, 2004 In 1934, Garrett Birkhoff has shown that the number of isomorphism classes of finite metabelian groups of order $p^{22}$ tends to infinity with $p$.
Schmidmeier, Markus
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Indecomposables live in all smaller lengths
, 2010 Let $\Lambda$ be a finite-dimensional $k$-algebra with $k$ algebraically closed. Bongartz has recently shown that the existence of an indecomposable $\Lambda$-module of length $n > 1$ implies that also indecomposable $\Lambda$-modules of length $n-1 ...
Ringel, Claus Michael
core +1 more source
Hall polynomials for representation-finite cluster-tilted algebras
, 2012 We show the existence of Hall polynomials for representation-finite cluster-tilted algebras.Comment: 6 ...
Fu, Changjian
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