B be the repetitive algebra of a finite dimensional algebra B over a field K ลฝ . by the B-bimodule DB s Hom B, K , and let be the Nakayama automorphism หรดf B. We determine the positive automorphisms of B such that the orbit algebra หลฝ . Br is isomorphic to a splittable extension algebra of B by the
On the Automorphisms of Incidence Algebras
โ Scribed by Eugene Spiegel
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 87 KB
- Volume
- 239
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
Given a locally finite partially ordered set, X, a ring with identity, R, and an automorphism, , of the incidence algebra of X over R, it is determined when is the composite of an inner automorphism, an automorphism of X, and an induced automorphism of R.
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