Some generalization of quasi-Frobenius algebras
نویسندگان
چکیده
منابع مشابه
g-QUASI-FROBENIUS LIE ALGEBRAS
A Lie version of Turaev’s G-Frobenius algebras from 2-dimensional homotopy quantum field theory is proposed. The foundation for this Lie version is a structure we call a g-quasi-Frobenius Lie algebra for g a finite dimensional Lie algebra. The latter consists of a quasi-Frobenius Lie algebra (q, β) together with a left g-module structure which acts on q via derivations and for which β is g-inva...
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Recently the first writer [l] gave a characterization of quasiFrobenius rings, introduced formerly by the second writer [3], in terms of a condition proposed by K. Shoda, which reads: A ring A satisfying minimum condition and possessing a unit element is a quasi-Frobenius ring if and only if A satisfies the following condition:1 (a) every (A -left-) homomorphism of a left-ideal of A into A may ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1948
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1948-0026048-0