Add to ORKGWe consider left and right almost split morphisms for a skeletally small subcategory of the category of all modules over an arbitrary ring, and we interpret their existence in terms of finiteness conditions of modules over their endomorphism ring. We also study generalized right almost split morphisms, a concept introduced by Brune, and a characterization of pure-semisimple rings
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
AbstractA family C of finitely generated indecomposable modules is said to have right almost split m...
We show that, over any ring, a module $ C$ is a codomain of a~right almost split map \iff $ C$ is a ...
AbstractWe study copure semisimple Grothendieck categories, i.e. Krull–Schmidt categories satisfying...
An artin algebra $l$ over a commutative, local, artinian ring $R$ was fixed, and with this foundatio...
An artin algebra $l$ over a commutative, local, artinian ring $R$ was fixed, and with this foundatio...
AbstractFor a left pure semisimple ring R, it is shown that the local duality establishes a bijectio...
This book develops thorough and complete foundations for the method of almost etale extensions, whic...
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of ...
Structure theorems are given for several classes of mixed modules over an arbitrary discrete valuati...
Our question is what ring R which all modules over R are determined, up to isomorphism, by their end...
summary:We present general properties for almost-flat modules and we prove that a self-small right m...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
AbstractA family C of finitely generated indecomposable modules is said to have right almost split m...
We show that, over any ring, a module $ C$ is a codomain of a~right almost split map \iff $ C$ is a ...
AbstractWe study copure semisimple Grothendieck categories, i.e. Krull–Schmidt categories satisfying...
An artin algebra $l$ over a commutative, local, artinian ring $R$ was fixed, and with this foundatio...
An artin algebra $l$ over a commutative, local, artinian ring $R$ was fixed, and with this foundatio...
AbstractFor a left pure semisimple ring R, it is shown that the local duality establishes a bijectio...
This book develops thorough and complete foundations for the method of almost etale extensions, whic...
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of ...
Structure theorems are given for several classes of mixed modules over an arbitrary discrete valuati...
Our question is what ring R which all modules over R are determined, up to isomorphism, by their end...
summary:We present general properties for almost-flat modules and we prove that a self-small right m...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...
Let $(R, \mathfrak{m})$ be a Cohen-Macaulay complete local ring. We will apply an inductive argument...