设A 是代数闭域F 上一个有限维基连通代数, modA 为有限维右A-模范畴, ΓA 为代数A 的AR
箭图. 由于modA 中成立Krull-Schmidt 定理, 通常将modA 中模与它的同构类看作一回事 …

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 …

We consider A to be an artin algebra. We characterize the irreducible morphisms of left
degree two. We study the non-zero composition of irreducible morphisms in almost pre …

Let A be an artin algebra and mod A the category of finitely generated A-modules. It is well
known that almost split sequences with indecomposable middle term exist in mod A …

Full article: Characterization of irreducible morphisms of degree three Skip to Main Content
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Let A be a hereditary artin algebra with s= s (A) simple modules. The indecomposable A-
modules without self-extensions are of great importance, they may be called exceptional …

Let A be an artin algebra, for example a finite dimensional algebra over a field k and C an
indecomposable nonprojective finitely generated left A-module. Then there is an exact …

_of B. Page 1 proceedings of the american mathematical society Volume 105, Number 2,
February 1989 THE NUMBER OF INDECOMPOSABLE SEQUENCES OVER AN ARTIN …

Let Λ be an artin algebra, and denote by mod Λ the category of finitely generated Λ-
modules. All modules we consider are finitely generated. We recall from [6] that a nonsplit …

Let $0\to A\to B\xrightarrow {g} C\to 0$ be a short exact sequence in the category of finitely
generated modules over an artin algebra. Suppose also that the map g is irreducible …