Results 11 to 20 of about 288 (50)
We give an explicit description of cubic rings over a discrete valuation ring, as well as a description of all ideals of such rings.Comment: 9 ...
Drozd, Yuriy A., Skuratovskii, Ruslan V.
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Brauer-Thrall for totally reflexive modules over local rings of higher dimension
Let $R$ be a commutative Noetherian local ring. Assume that $R$ has a pair $\{x,y\}$ of exact zerodivisors such that $\dim R/(x,y)\ge2$ and all totally reflexive $R/(x)$-modules are free.
AV [ERROR while converting LaTeX/Unico +22 more
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The geometry of uniserial representations of algebras II. Alternate viewpoints and uniqueness [PDF]
We provide two alternate settings for a family of varieties modeling the uniserial representations with fixed sequence of composition factors over a finite dimensional algebra.
Bongartz, Klaus +1 more
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On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras
We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke algebra of type A, in terms of the weight of the block.
Bergh, Petter Andreas, Turner, Will
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A characterization of admissible algebras with formal two-ray modules
In the paper we characterize, in terms of quivers and relations, the admissible algebras with formal two-ray modules introduced by G. Bobi\'nski and A. Skowro\'nski [Cent. Eur. J.Math.1 (2003), 457--476].Comment: Mainly correcting typos.
Drozd Yu. A. +5 more
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Endomorphism rings of finite global dimension [PDF]
For a commutative local ring $R$, consider (noncommutative) $R$-algebras $\Lambda$ of the form $\Lambda = End_R(M)$ where $M$ is a reflexive $R$-module with nonzero free direct summand.
Leuschke, Graham J.
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Gabriel-Roiter inclusions and Auslander-Reiten theory
Let $\Lambda$ be an artin algebra. The aim of this paper is to outline a strong relationship between the Gabriel-Roiter inclusions and the Auslander-Reiten theory. If $X$ is a Gabriel-Roiter submodule of $Y,$ then $Y$ is shown to be a factor module of an
Ringel, Claus Michael
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Dimensions of finite type for representations of partially ordered sets [PDF]
We consider the dimensions of finite type of representations of a partially ordered set, i.e. such that there is only finitely many isomorphism classes of representations of this dimension. We give a criterion for a dimension to be of finite type.
Drozd, Yuriy A., Kubichka, Eugene A.
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Derived tame and derived wild algebras [PDF]
We prove that every finite dimensional algebra over an algebraically closed field is either derived tame or derived wild.
Drozd, Yuriy A.
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Cartan matrices of selfinjective algebras of tubular type
Białkowski Jerzy
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