This is the first of a two-volume set that provides a modern account of the representation
theory of finite dimensional associative algebras over an algebraically closed field. The …

This is the first part of our two part paper with the same title. Following our Coxeter spectral
study in [Fund. Inform.[123 (2013), 447-490] and [SIAM J. Discr. Math. 27 (2013), 827-854] of …

This is the second part of our two part paper with the same title. Following our Coxeter
spectral study in [Fund. Inform.[123 (2013), 447-490] and [SIAM J. Discr. Math. 27 (2013) …

This paper can be viewed as a third part of our paper [Fund. Inform. 2015, in press].
Following our Coxeter spectral study in [Fund. Inform. 123 (2013), 447-490] and [SIAM J …

This article is an extended and completed version of the second part of the joint survey
lecture with Yu. Drozd on Cohen-Macaulay modules over Cohen-Macaulay algebras …

We continue our Coxeter type study of a class of finite posets we started in Gąsiorek and
Simson (2012). Here we present a more general algorithmic approach to a classification …

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 …

Following the spectral graph theory and a Coxeter type technique applied in the
representation theory of groups, algebras, coalgebras, and posets, we study the category …

Right peak rings and their socle projective modules were introduced and studied by the
second author [49, 50, 471 in a connection with a study of subspace categories of vector …

Following an idea of spectral graph theory, we give several characterizations of finite one-
peak posets I with almost P-critical quadratic Tits form q ˆ I: ZI→ Z by applying linear algebra …