Let k be a field and qa non-zero element of k. In Part I, we have exhibited a 6-dimensional k-
algebra Λ= Λ (q) and we have shown that if q has infinite multiplicative order, then Λ has a 3 …

Let A be an artin algebra, Gélinas has introduced an interesting upper bound for the finitistic
dimension fin-pro A of A, namely the delooping level del A. We assert that fin-pro A= del A …

We give a construction of Gorenstein projective $\tau $-tilting modules in terms of tensor
products of modules. As a consequence, we give a class of non-self-injective algebras …

We introduce a generalization of tilting modules of finite projective dimension, Wakamatsu-
projective modules, which are self-orthogonal and Ext-progenerators in their Ext …

We prove that a finite dimensional algebra $ A $ with representation-finite subcategory
consisting of modules that are semi-Gorenstein-projective and $ n $-th syzygy modules is …

Following the well‐established terminology in commutative algebra, any (not necessarily
commutative) finite‐dimensional local algebra AA with radical JJ will be said to be short …

In this paper we show that how the representation theory of subcategories (of the category of
modules over an Artin algebra) can be connected to the representation theory of all modules …

Let A be an artin algebra. An A-module M is semi-Gorenstein-projective provided that Ext i
(M, A)= 0 for all i≥ 1. If M is Gorenstein-projective, then both M and its A-dual M∗ are semi …

The category gp (Λ) of Gorenstein-projective modules over tensor algebra Λ= A⊗ k B can be
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …

We introduce Gorenstein silting modules (resp. complexes), and give the relation with the
usual silting modules (resp. complexes). We show that Gorenstein silting modules are the …