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.
On automorphisms of order three of division algebras
β Scribed by L.G. Sweet; J.A. MacDougall
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 418 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
B be the repetitive algebra of a finite dimensional algebra B over a field K Ε½ . by the B-bimodule DB s Hom B, K , and let be the Nakayama automorphism ΛΓ΄f B. We determine the positive automorphisms of B such that the orbit algebra ΛΕ½ . Br is isomorphic to a splittable extension algebra of B by the
Double Frobenius algebras or dF-algebras were recently introduced by the author. The concept generalizes finite-dimensional Hopf algebras, adjacency alge-Ε½ . Ε½ bras of non-commutative association schemes, and C-algebras or character . algebras . This paper studies basic properties of various Nakayam