Displaying similar documents to “Full embeddings of almost split sequences over split-by-nilpotent extensions”

Quasitilted algebras have preprojective components

Ole Enge (2000)

Colloquium Mathematicae

Similarity:

We show that a quasitilted algebra has a preprojective component. This is proved by giving an algorithmic criterion for the existence of preprojective components.

On restrictions of generic modules of tame algebras

Raymundo Bautista, Efrén Pérez, Leonardo Salmerón (2013)

Open Mathematics

Similarity:

Given a convex algebra ∧0 in the tame finite-dimensional basic algebra ∧, over an algebraically closed field, we describe a special type of restriction of the generic ∧-modules.

Iterated coil enlargements of algebras

Bertha Tomé (1995)

Fundamenta Mathematicae

Similarity:

Let Λ be a finite-dimensional, basic and connected algebra over an algebraically closed field, and mod Λ be the category of finitely generated right Λ-modules. We say that Λ has acceptable projectives if the indecomposable projective Λ-modules lie either in a preprojective component without injective modules or in a standard coil, and the standard coils containing projectives are ordered. We prove that for such an algebra Λ the following conditions are equivalent: (a) Λ is tame, (b)...

Partially flat and projective modules.

Syed Khalid Nauman (1992)

Extracta Mathematicae

Similarity:

Assume that A and B are rings with identity and that M and N are (B,A) and (A,B) bimodules respectively. We say that AN (respt. MA) is partially flat (respt. projective) with respect to a subcategory C(A) of Mod-A (the category of all unital right A-modules), if the tensor functor, -⊗AN (respt. the hom functor HomA(M,-)) is exact...