Periodic resolutions over exterior algebras
نویسندگان
چکیده
منابع مشابه
Periodic resolutions over exterior algebras ✩
In this paper we study modules with periodic free resolutions (that is, periodic modules) over an exterior algebra. We show that any module with bounded Betti numbers (that is, a module whose syzygy modules have a bounded number of generators) must have periodic free resolution of period 2, and that for graded modules the period is 1. We also show that any module with a linear Tate resolution i...
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When R is a commutative ring, the minimal free resolution of a map Ra → Rb and symmetric and skew-symmetric maps Ra → Ra, under suitable generality conditions, are well known and have been developed by a series of authors. See [2, A2.6] for an overview. In this note we do an analog for the exterior algebra E = ⊕ ∧i V on a finite dimensional vector space V and general graded maps Ea → E(1)b, and...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2002
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00511-2