Clifford Extensions |
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| Authors: | Mitsuo Hoshino Hirotaka Koga |
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| Affiliation: | 1. Institute of Mathematics, University of Tsukuba, Ibaraki, Japan;2. School of Information Environment, Tokyo Denki University, Chiba, Japan |
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| Abstract: | ![]()
Formulating the construction of Clifford algebras, we introduce the notion of Clifford extensions and show that Clifford extensions are Frobenius extensions. Consequently, Clifford extensions of Auslander–Gorenstein rings are Auslander–Gorenstein rings. |
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| Keywords: | Auslander–Gorenstein ring Clifford extension Frobenius extension |
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