We prove its general properties, including at base change and transitivity theorems. We give an explicit bicomplex for the [Gamma]-homology of a discrete algebra, and elucidate connections with stable homotopy theory.关键词: Operads and & amp b.Gamma homology of commutative rings, Artículo ...
On the cyclic homology of commutative algebras over arbitrary ground ringsdoi:10.1080/00927879908826502Guillermo Corti?asDep. De MatemáticaCommunications in AlgebraOn the cyclic homology of commutative algebras over arbitrary ground rings - Cortiñas - 1999...
摘要: This work is primarily concerned with the study of artinian modules over commutative noetherian rings. 关键词: Mathematics Homology of artinian modules over commutative noetherian rings THE UNIVERSITY OF NEBRASKA - LINCOLN Roger Wiegand Srikanth Iyengar Leamer Micah Josiah DOI: http://dx.doi...
Two homology theories of multiplicative Lie rings are constructed, studied and compared with the usual homology theories of groups and Lie rings. Central extensions of multiplicative Lie rings are introduced. It is shown that the Steinberg multiplicative Lie ring of a ring is the direct product of...
For the remaining statements on the homology of ET(A n ), we assume that A is a commutative ring with many units, in the sense of Van der Kallen. See =-=[12]-=- for a nice exposition of the definition and its consequences. Commutative local rings A with infinite residue fields are...
The technical device is the notion of a cyclic groupoid. Along the way, similar results are derived for k=arbitrary commutative ring. As an application, Künneth-type formulae are offered for HC * (k[G*H]) and HC * (k[G×]). 展开 ...
by the sequence of “cochains”. ⋅⋅⋅←Homz(Sn(X),G)←∂n*Homz(Sn−1(X),G)←⋅⋅⋅. The arrows have changed direction because HomZ(, G) is contravariant. Again, additive functors preserve zero morphisms, so the composite of adjacent maps is still 0. Certain subgroup...
We analyze stable homology over associative rings and obtain results over Artin algebras and commutative noetherian rings. Our study develops similarly for these classes; for simplicity we only discuss the latter here. Stable homology is a broad generalization of Tate homology. Vanishing of stable homo...
On the Cubical Homology Groups of Free Partially Commutative Monoids - Husainov () Citation Context ...icients in a ring with unit. Keywords: precubical cohomology rings, cohomology of small categories, precubical sets. Introduction Let G be the homologous system Abelian groups over a pre...
Asadollahi, J., Salarian, Sh.: Gorenstein injective dimension for complexes and Iwanaga-Gorenstein rings. Comm. Algebra 34, 3009–3022 (2006) Article MathSciNet Google Scholar Auslander, M., Buchweitz, R.-O.: The homological theory of maximal cohen-Macaulay approximations. Mém. Soc. Math....