[PDF][PDF] Almost Projective Modules over Artin Algebras

JS Park - Journal of the Chungcheong Mathematical Society, 1988 - ccms.or.kr
Almost Projective Modules over Artin Algebras Page 1 JOURNAL, OF THE CHUNG CHE
ONG MATHEMATICAL, SOCIETY Volume 1, June 1988 Almost Projective Modules over Artin …

Almost projective modules and almost split sequences with indecomposable middle term

R Martínez-Villa - Communications in Algebra, 1980 - Taylor & Francis
Almost projective modules and almost split sequences with indecomposable middle term Page 1
COMMUNICATIONS IN ALGEBRA, 8(12), 1123-1150 (1980) ALMOST PROJECTIVE MODULES …

Representation theory of artin algebras iii almost split sequences

M Auslander, I Reiten - Communications in Algebra, 1975 - Taylor & Francis
0-> A-> B-> C-> 0 is called an almost split sequence if a) it is not splitable, b) A and C are
indecomposable A-modules and c) if f: X-> C is not a splitable epimorphism, then there is an …

[引用][C] Artin algebras with directing indecomposable projective modules

A Skowronski, M Wenderlich - Journal of Algebra, 1994 - Elsevier
Let A be an artin algebra, mod A the category of finitely generated right A-modules, rad"(mod
A) the infinite radical of mod A and IT, the Auslander–Reiten quiver of A. Following [32] an …

On weakly directing modules

D Xianneng - Communications in Algebra, 2000 - Taylor & Francis
Let A be an artin algebra. An indecomposable A-module M is called weakly directing if it
does not belong to a cycle of nonzero nonisomorphisms between indecomposable modules …

Almost split sequences in the category of complexes of modules

S Salarian, R Vahed - Journal of Algebra and Its Applications, 2015 - World Scientific
Let Λ be an artin algebra. By letting the Nakayama functor act degree-wise, we define a
translation τ in the category of complexes of finitely generated Λ-modules, C (mod Λ). Then …

Almost split sequences for non-regular modules

S Liu - Fundamenta Mathematicae, 1993 - eudml.org
Abstract top Let A be an Artin algebra and let 0→ X→⊕ i= 1 r Y i→ Z→ 0 be an almost split
sequence of A-modules with the Y i indecomposable. Suppose that X has a projective …

Preprojective modules and Auslander-Reiten components

S Liu - Communications in Algebra, 2003 - Taylor & Francis
Abstract Auslander and Smalø (Auslander, M., Smalø, SO (1980). Preprojective modules
over artin algebras. J. Algebra 66: 61–122) introduced and studied extensively preprojective …

A characterization of right 4-Nakayama artin algebras

A Nasr-Isfahani, M Shekari - Journal of Algebra and Its Applications, 2021 - World Scientific
In this paper, we study the category of finitely generated modules over a class of right 4-
Nakayama artin algebras. This class of algebras appear naturally in the study of …

A note on preprojective partitions over hereditary artin algebras

G Todorov - Proceedings of the American Mathematical Society, 1982 - ams.org
If $\Lambda $ is an artin algebra there is a partition of $\operatorname {ind}\Lambda $, the
category of indecomposable finitely generated $\Lambda $-modules, $\operatorname …