The Wedderburn principal theorem and Shukla cohomology
نویسندگان
چکیده
منابع مشابه
The Wedderburn Principal Theorem for Alternative Algebras
for all a, x in 21. I t is clear that associative algebras are alternative. The most famous examples of alternative algebras which are not associative are the so-called Cayley-Dickson algebras of order 8 over $. Let S be an algebra of order 2 over % which is either a separable quadratic field over 5 or the direct sum 5 ©3There is one automorphism z—>z of S (over %) which is not the identity aut...
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Thus the comparison ends in a manner fully as satisfactory as in [I] and [2]. The proof uses essentially the same method of acyclic models as was used in those papers. A standard (i.e., functorial) complex for each theory is constructed and the hypotheses of the theorem of acyclic models of [2] are shown to be satisfied, from which chain equivalence of these complexes follows. Here the standard...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1995
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)00072-q