منابع مشابه
Stable Clifford Theory for Divisorially Graded Rings
Dade [D1, Theorem 7.4] obtained an important result on the equivalence of categories, extending the classical stable Clifford theory. He used the theory of strongly graded rings. Recently, this work has been generalized to arbitrary graded rings, see E. Dade [D2], [D3], J.L. Gómez Pardo and C. Nǎstǎsescu [GN ], C. Nǎstǎsescu and F. Van Oystaeyen [NVO2]. In the classical case the stable Clifford...
متن کاملZ3-graded analogues of Clifford algebras and generalization of supersymmetry
We define and study the ternary analogues of Clifford algebras. It is proved that the ternary Clifford algebra with N generators is isomorphic to the subalgebra of the elements of grade zero of the ternary Clifford algebra with N+1 generators. In the case N = 3 the ternary commutator of cubic matrices induced by the ternary commutator of the elements of grade zero is derived. We apply the terna...
متن کاملRelative Multiplicities of Graded Algebras
Without any finiteness assumption, we define a sequence of relative multiplicities for a pair A ⊂ B of standard graded Noetherian algebras that extends the notion of relative multiplicities of Simis, Ulrich and Vasconcelos and unifies them with the j-multiplicity of ideals introduced by Achilles and Manaresi as well as the j-multiplicity of modules defined by Ulrich and Validashti. Using our re...
متن کاملCorrigendum: Generalizations of graded Clifford algebras and of complete intersections
A correction is provided for Proposition 3.5 in the article “Generalizations of Graded Clifford Algebras and of Complete Intersections”. The correction is: if S is a skew polynomial ring on finitely many generators of degree one that are normal elements in S, and if I is a homogeneous ideal of S that is generated by a normalizing sequence, then dimk(S/I) is finite if and only if S/I has no poin...
متن کاملClifford Theory for Cocentral Extensions
The classical Clifford correspondence for normal subgroups is considered in the more general setting of semisimple Hopf algebras. We prove that this correspondence still holds if the extension determined by the normal Hopf subalgebra is cocentral.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1992
ISSN: 0022-4049
DOI: 10.1016/0022-4049(92)90161-8