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Positive Galois coverings of self-injective algebras |
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| Authors: | Andrzej Skowroński Kunio Yamagata |
| Affiliation: | a Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland b Department of Mathematics, Tokyo University of Agriculture and Technology, Nakacho 2-24-16, Koganei, Tokyo 184-8488, Japan |
| Abstract: | In the article, we study the structure of Galois coverings of self-injective artin algebras with infinite cyclic Galois groups. In particular, we characterize all basic, connected, self-injective artin algebras having Galois coverings by the repetitive algebras of basic connected artin algebras and with the Galois groups generated by positive automorphisms of the repetitive algebras. |
| Keywords: | 16D50 16G10 16S99 |
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