Let C be a faithfully balanced selforthogonal module over an Artin algebra R. We introduce
the notion of nC-star modules, which is a common generalization of n-star modules and nC …

Bazzoni had given a simple characterization of infinitely generated n-tilting modules.
Though her method is even inapplicable to classical n-tilting modules over Artin algebras …

A triangular matrix ring Λ is defined by a triplet (R, S, M) where R and S are rings and RMS is
an SR-bimodule. In the main theorem of this paper we show that if TS is a tilting S-module …

Let be an Artin algebra. Under suitable conditions, we describe all the modules in⊥ Λ, and
obtain criteria for the Gorensteinness of Λ. As applications, we determine explicitly all the …

Let A be an Artin algebra. Following Miyashita, a pair (C, T) in A-mod is called tilting
provided both C and T are selforthogonal such that T∈ addACˆ and C∈ addATˇ. In this …

Let A be an Artin algebra. A pair (C, T) of A-modules is tilting provided that C and T are
(finitely generated) self-orthogonal, T∈ addˆAC and C∈ adďAT. Particularly, T is a tilting …

Let A and R be two artin algebras such that R is a split extension of A by a nilpotent ideal.
We prove that if R is quasi-tilted, or tame and tilted, then so is A. Moreover, generalizations …

r-COSTAR MODULES Hongxing Liu and Shunhua Zhang 1. Introduction The theory of
equivalences and dualities between module subcateg Page 1 International Electronic Journal of …

Let Λ be an Artin algebra and T a τ-tilting Λ-module. We prove that T is a tilting module if and
only if Ext Λ i (T, Fac T)= 0 for all i≥ 1, where Fac T is the full subcategory consisting of …

n-Star modules and n-tilting modules Page 1 Journal of Algebra 283 (2005) 711–722 www.elsevier.com/locate/jalgebra
n-Star modules and n-tilting modules Wei Jiaqun Department of Mathematics, Nanjing …