Self-Duality and Harada Rings
نویسندگان
چکیده
منابع مشابه
Group - Graded Rings and Duality
We give an alternative construction of the duality between finite group actions and group gradings on rings which was shown by Cohen and Montgomery in [1]. This duality is then used to extend known results on skew group rings to corresponding results for large classes of group-graded rings. Finally we modify the construction slightly to handle infinite groups. Introduction. In the first section...
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Chiral/self-dual restrictions of various super Yang-Mills and supergravity theories in (2,2) dimensions are described. These include the N=1 supergravity with a cosmological term and the N=1 new minimal supergravity theory. In the latter case, a self-duality condition on a torsionful Riemann curvature is possible, and it implies the equations of motion that follow from an R 2 type supergravity ...
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In this note we extend duality theorems for crossed products obtained by M. Koppinen and C. Chen from the case of a base field or a Dedekind domain to the case of an arbitrary noetherian commutative ground ring under fairly weak conditions. In particular we extend an improved version of the celebrated Blattner-Montgomery duality theorem to the case of arbitrary noetherian ground rings.
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Section 0. Introduction The following example provided the motivation for this paper. Let F8 be the field with 8 elements, and let F8 be its group of units which acts on F8 via left multiplication. The cohomology ring H(F8 ×7 F8; F2) ∼= F2[x1, x2, x3] is of much interest to topologists ([A], [CS], [M]). It is a straight forward exercise to construct minimal sets of homogeneous generators and re...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1999
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7593