Gluing of idempotents,radical embeddings and two classes of stable equivalences |
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Authors: | Steffen Koenig Yuming Liu |
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Institution: | 1. Mathematical Institute, University of Koeln, 50931 Koeln, Germany;2. School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, PR China |
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Abstract: | Stable equivalences are studied between any finite dimensional algebra A with a simple projective module and a simple injective module and an algebra B obtained from A by ‘gluing’ the corresponding idempotents of A; this extends results by Martinez-Villa. Stable equivalences modulo projectives are compared to stable equivalences modulo semisimples, and in either situation a characterization is given for a radical embedding to induce such a stable equivalence. |
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