Article ID Journal Published Year Pages File Type
8896130 Journal of Algebra 2018 30 Pages PDF
Abstract
The ADR algebra RA of a finite-dimensional algebra A is a quasihereditary algebra. In this paper we study the Ringel dual R(RA) of RA. We prove that R(RA) can be identified with (RAop)op, under certain 'minimal' regularity conditions for A. In particular, over algebraically closed fields the Ringel dual of the ADR algebra RA is Morita equivalent to (RAop)op (with respect to a canonical labelling) if and only if all projective and injective A-modules are rigid and have the same Loewy length. We also give necessary and sufficient conditions for the ADR algebra to be Ringel selfdual.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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