Frontiers of Mathematics in China >

2017 , Vol. 12 >Issue 1: 51 - 62

DOI: https://doi.org/10.1007/s11464-016-0592-1

RESEARCH ARTICLE

Tensor products of tilting modules

  • Meixiang CHEN 1,2 ,
  • Qinghua CHEN , 2
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  • 1. School of Mathematics, Putian University, Putian 351100, China
  • 2. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China

Received date: 30 Nov 2015

Accepted date: 16 Apr 2016

Published date: 01 Feb 2017

Copyright

2016 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We consider whether the tilting properties of a tilting A-module T and a tilting B-module T ' can convey to their tensor product T ⊗T '. The main result is that T ⊗ T ' turns out to be an (n+ m)-tilting A ⊗ B-module, where T is an m-tilting A-module and T ' is an n-tilting B-module.

Key words： Tensor product; tilting module; n-tilting module; endomorphism algebra

Cite this article

Meixiang CHEN , Qinghua CHEN . Tensor products of tilting modules[J]. Frontiers of Mathematics in China, 2017 , 12(1) : 51 -62 . DOI: 10.1007/s11464-016-0592-1

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