منابع مشابه
Shukla Cohomology and Triples*
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...
متن کاملCartan-eilenberg Cohomology and Triples
In their classic book, Cartan and Eilenberg described a more-or-less general scheme for defining homology and cohomology theories for a number of different kinds of algebraic structure, using a general theory of augmented algebras. Later, in his doctoral dissertation, Beck showed how to use the theory of triples to derive a very different and completely general scheme for doing the same thing. ...
متن کاملRing Extension Problem, Shukla Cohomology and Ann-category Theory
Every ring extension of A by R induces a pair of group homomorphisms L : R → EndZ(A)/L(A);R : R → EndZ(A)/R(A), preserving multiplication, satisfying some certain conditions. A such 4-tuple (R,A,L,R) is called a ring pre-extension. Each ring pre-extension induces a R-bimodule structure on bicenter KA of ring A, and induces an obstruction k, which is a 3-cocycle of Z-algebra R, with coefficients...
متن کاملCohomology of Jordan triples and Lie algebras
We develop a cohomology theory for Jordan triples, including the infinite dimensional ones, by means of the cohomology of TKK Lie algebras. This enables us to apply Lie cohomological results to the setting of Jordan triples.
متن کامل193-8 Shukla
Black tea is one of the most popular natural beverages, which is consumed by the majority of the world population. Tea consumption has been reported to inhibit to tumor formation in various experimental and epidemiological studies (Katiyar and Mukhtar, 1996). Tea ingredients inhibit N-nitrosomethyl benzylamine, diethylnitrosoamine and polycyclic aromatic hydrocarbon induced esophageal, lung and...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1967
ISSN: 0021-8693
DOI: 10.1016/0021-8693(67)90036-1