Let $ A,\; B $ be artinian rings and let $ _A {M_B} $ be an $(AB) $-bimodule which is a
finitely generated left $ A $-module and a finitely generated right $ B $-module. A right $ _A …

The main aim of this paper is to give a characterisation of finite posets J having only finitely
many isomorphism classes of indecomposable socle projective K-linear representations …

The pure semisimplicity conjecture (pssR) stated below is studied in the paper mainly for
hereditary rings R. One of our main results is Theorem 3.6 containing various conditions …

For any finite poset J and a field K the category J-spr of socle projective K-linear
representations of J is investigated and the representation type of J-spr is studied in the …

This is a report on advances in the representation theory of finite dimensional algebras in
the years 1984–1990. During these years, the German research council (DFG) has …

1. Introduction. Throughout this paper K is a field, R is a commutative ring with an identity
element and (I,≼) is a finite poset (ie partially ordered set) with respect to the partial order≼ …

Let k be a comniutative field. A finite dimensional k-algebra R is called a rtght peak algebra if
there exists a simple projective right ideal P,= e, R (called a right peak of R) such that the …

Throughout this paper K is a field and we denote by (J,-<) a finite poset (ie, a partially
ordered set) with respect to the partial order-<. We shall write i-< j if i-< j and i~ j. For the sake …

The main aim of this survey article is to present various concepts of linear representations of
finite posets and their applications to the study of lattices over orders. Our main results assert …

One of the main results of this paper is Theorem 1.2, which contains a characterization of
finite bipartite posetsI= I′∪ I ″for which the category prin (kI) of prinjective modules over …