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On Frobenius algebras

โœ Scribed by Takayoshi Wakamatsu


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
232 KB
Volume
268
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


All Frobenius algebras ฮ“ with separable factor algebra ฮ“ / rad ฮ“ are constructed as factors of tensor algebras. Further, fixing a separable algebra A, a bimodule A V A and a natural number n, the set A n (A, V ) of all representatives of isomorphism classes of Frobenius algebras ฮ“ with the properties (1) ฮ“ / rad ฮ“ โˆผ = A, (2) A (rad ฮ“ / rad 2 ฮ“ ) A โˆผ = V , and (3) rad n ฮ“ = 0 is investigated.


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