Characteristic modules and tensor products over quasi-hereditary algebras |
| |
Authors: | Yue-hui Zhang Shi-ying Shen Ping-kai Ye |
| |
Institution: | 1. Institute of Mathematics, Tianjin University of Technology and Education, Tianjin 300222, China 2. Department of Mathematics, Lishui University, Lishui 323000, China |
| |
Abstract: | Let A be a monomial quasi-hereditary algebra with a pure strong exact Borel subalgebra B. It is proved that the category of induced good modules over B is contained in the category of good modules over A; that the characteristic module of A is an induced module of that of B via the exact functor — ? B A if and only if the induced A-module of an injective B-module remains injective as a B-module. Moreover, it is shown that an exact Borel subalgebra of a basic quasi-hereditary serial algebra is right serial and that the characteristic module of a basic quasi-hereditary serial algebra is exactly the induced module of that of its exact Borel subalgebra. |
| |
Keywords: | quasi-hereditary algebra monomial algebra exact Borel subalgebra good module characteristic module |
本文献已被 CNKI 万方数据 SpringerLink 等数据库收录! |