منابع مشابه
VANISHING HOMOLOGY OVER NILPOTENT GROUPS i
Let rr be a nilpotent group and let M be a 77-module. Under certain finiteness assumptions we prove that the twisted homology groups H .(77, M) vanish for all positive i whenever H (n, M) = 0. The purpose of this note is to prove the following vanishing theorem: (1) Theorem. Let rr be a finitely generated nilpotent group, and let Al be a rr-module which is finitely generated over Z[rr]. Assume ...
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Auslander’s depth formula for pairs of Tor-independent modules over a regular local ring, depth(M ⊗R N) = depth M + depth N − depthR, has been generalized in several directions; most significantly it has been shown to hold for pairs of Tor-independent modules over complete intersection rings. In this paper we establish a depth formula that holds for every pair of Tate Tor-independent modules ov...
متن کاملOn the Vanishing of (co)homology over Local Rings
Considering modules of finite complete intersection dimension over commutative Noetherian local rings, we prove (co)homology vanishing results in which we assume the vanishing of nonconsecutive (co)homology groups. In fact, the (co)homology groups assumed to vanish may be arbitrarily far apart
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1975-0374242-3