Fragments of almost ring theory

Lorenzo Ramero

Displaying similar documents to “Fragments of almost ring theory”

Ladder functors with an application to representation-finite Artinian rings.

Rump, Wolfgang (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Almost-flat modules

Simion Breaz (2003)

Czechoslovak Mathematical Journal

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We present general properties for almost-flat modules and we prove that a self-small right module is almost flat as a left module over its endomorphism ring if and only if the class of $g$ -static modules is closed under the kernels.

On Hom-spaces of tame algebras

Raymundo Bautista, Yuriy Drozd, Xiangyong Zeng, Yingbo Zhang (2007)

Open Mathematics

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Let Λ be a finite dimensional algebra over an algebraically closed field k and Λ has tame representation type. In this paper, the structure of Hom-spaces of all pairs of indecomposable Λ-modules having dimension smaller than or equal to a fixed natural number is described, and their dimensions are calculated in terms of a finite number of finitely generated Λ-modules and generic Λ-modules. In particular, such spaces are essentially controlled by those of the corresponding generic modules. ...

A bicategorical approach to static modules.

Betti, Renato (1999)

Theory and Applications of Categories [electronic only]

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Classification of $𝔻$ -modules with regular singularities along normal crossings

M. G. M. Van Doorn (1986)

Compositio Mathematica

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On locally bounded categories stably equivalent to the repetitive algebras of tubular algebras

Zygmunt Pogorzały (1997)

Colloquium Mathematicae

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Localization of differential operators and of higher order de Rham complexes

Gabriele Vezzosi (1997)

Rendiconti del Seminario Matematico della Università di Padova

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Onα-almost Artinian modules

Maryam Davoudian, Ahmad Halali, Nasrin Shirali (2016)

Open Mathematics

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In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ {0,1}. Using this concept we extend some of the basic results of almost Artinian modules to α-almost Artinian modules. Moreover we introduce and study the concept of α-Krull modules. We observe that if M is an α-Krull module then the Krull dimension of M is either α or α + 1. ...

Full embeddings of almost split sequences over split-by-nilpotent extensions

Ibrahim Assem, Dan Zacharia (1999)

Colloquium Mathematicae

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Let R be a split extension of an artin algebra A by a nilpotent bimodule $_{A} Q_{A}$ , and let M be an indecomposable non-projective A-module. We show that the almost split sequences ending with M in mod A and mod R coincide if and only if $H o m_{A} (Q, τ_{A} M)$ = 0 and $M \otimes_{A} Q = 0$ .