Wakamatsu tilting modules over ring extension

Z Zhang, J Wei - Journal of Algebra and Its Applications, 2019 - World Scientific
Wakamatsu tilting modules over ring extension Page 1 Journal of Algebra and Its Applications
Vol. 18, No. 10 (2019) 1950198 (9 pages) c© World Scientific Publishing Company DOI …

Generalized tilting modules over ring extension

Z Zhang - Czechoslovak Mathematical Journal, 2019 - Springer
GENERALIZED TILTING MODULES OVER RING EXTENSION 1. Introduction Let ξ: R → Γ be
a ring homomorphism, then the ring Γ is cal Page 1 Czechoslovak Mathematical Journal, 69 …

On a generalization of tilting modules

X Zhang, L Yao - Communications in Algebra®, 2009 - Taylor & Francis
Let R be a ring. A right R-module U is called Tor-tilting if, where U+= Homℤ (U, ℚ/ℤ), Cogen
(U+) is the class of left R-modules cogenerated by U+ and consists of modules RM such that …

n-Star modules over ring extensions

J Wei - Journal of Algebra, 2007 - Elsevier
We give conditions under which an n-star module UA extends to an n-star module, or an n-
tilting module, RR⊗ UA over a ring extension R of A. In case that R is a split extension of A …

Generalized tilting modules with finite injective dimension

Z Huang - Journal of Algebra, 2007 - Elsevier
Let R be a left noetherian ring, S a right noetherian ring and UR a generalized tilting module
with S= End (UR). The injective dimensions of UR and US are identical provided both of …

A note on the Hasse quiver of -tilting modules

H Gao - Journal of Algebra and Its Applications, 2022 - World Scientific
A note on the Hasse quiver of -tilting modules Page 1 Journal of Algebra and Its
Applications Vol. 21, No. 1 (2022) 2250003 (6 pages) c© World Scientific Publishing …

Tilting modules under special base changes

P Moradifar, S Rajabi, S Yassemi - Journal of Pure and Applied Algebra, 2018 - Elsevier
Given a non-unit, non-zero-divisor, central element x of a ring Λ, it is well known that many
properties or invariants of Λ determine, and are determined by, those of Λ/x Λ and Λ x. In the …

[PDF][PDF] Generalized tilting modules and applications to module theory

Y Miyashita - Mathematical Journal of Okayama …, 1992 - ousar.lib.okayama-u.ac.jp
In the representation theory of algebras, the notion of a tilting module of finite projective
dimension (cf.[7]) is well known, and there are many papers concerning this. On the other …

[PDF][PDF] Tilting Bimodules from Tilting Pairs

YH LIAO, JL CHEN - Journal of Mathematical Research & Exposition, 2011 - academia.edu
Tilting Bimodules from Tilting Pairs Page 1 Journal of Mathematical Research & Exposition
Jan., 2011, Vol. 31, No. 1, pp. 109–114 DOI:10.3770/j.issn:1000-341X.2011.01.012 Http://jmre.dlut.edu.cn …

A Generalized Version of the Tilting Theorem

H Zhu, N Ding - Communications in Algebra, 2011 - Taylor & Francis
It is well known that tilting modules are of particular importance in the general theory of
modules. One of the roles of a tilting module R ω is that it provides a connection between the …