Affiliation:
1. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 24100, P. R. China
2. School of Mathematics Sciences, Nanjing Normal University, Nanjing 210023, P. R. China
Abstract
Let [Formula: see text], [Formula: see text] be two finite dimensional algebras over a field [Formula: see text], such that [Formula: see text] is a split extension of A by the nilpotent bimodule [Formula: see text]. We mainly give necessary and sufficient conditions for a tilting pair [Formula: see text] such that [Formula: see text] or [Formula: see text] are tilting pairs. Also, we obtain a similar condition such that a Wakamatsu tilting pair [Formula: see text] in [Formula: see text]-mod can be a Wakamatsu tilting pair [Formula: see text] in [Formula: see text]-mod.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Anhui province
Pre-Research National Natural Science Foundation of China of Anhui Polytechnic University
Startup Foundation for Introducing Talent of Anhui Polytechnic University
National Science Foundation of China
National Science Foundation for Distinguished Young Scholars of Jiangsu Province
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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