A Cohomology Theory for Commutative Algebras. Ii1

نویسنده

  • MICHAEL BARR
چکیده

1. Introduction. In the first paper of this series [l], henceforth referred to as I, we define a cohomology theory for a commutative algebra P with coefficients in an P-module M for which H2(R, M) is the group of singular extensions of P by M. In this paper we generalize to a cohomology 22(5, <b, M) where (S, <p) is a singular extension of P and M is an P-module. The second group is again a group of ex

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The hochschild cohomology problem for von neumann algebras.

In 1967, when Kadison and Ringrose began the development of continuous cohomology theory for operator algebras, they conjectured that the cohomology groups Hn(M, M), n >/= 1, for a von Neumann algebra M, should all be zero. This conjecture, which has important structural implications for von Neumann algebras, has been solved affirmatively in the type I, IIinfinity, and III cases, leaving open o...

متن کامل

Vanishing of Second Cohomology for Tensor Products of Type Ii1 Von Neumann Algebras

We show that the second cohomology group H2(M⊗N, M⊗N) is always zero for arbitrary type II1 von Neumann algebras M and N .

متن کامل

Massey Products and Deformations

It is common knowledge that the construction of one-parameter deformations of various algebraic structures, like associative algebras or Lie algebras, involves certain conditions on cohomology classes, and that these conditions are usually expressed in terms of Massey products, or rather Massey powers. The cohomology classes considered are those of certain differential graded Lie algebras (DGLA...

متن کامل

A Cohomology Theory for Commutative Algebras. I1

1. Introduction. D. K. Harrison has recently developed a co-homology theory for commutative algebras over a field [2]. A few key theorems are proved and the results applied to the theory of local rings and eventually to algebraic geometry. The main problem is that both his definitions and proofs require involved calculations. In this paper we define a cohomology theory which (a) relies on more ...

متن کامل

e–Quillen cohomology of commutative S-algebras

We de ne topological Andr e–Quillen cohomology of commutative S-algebras and construct a spectral sequence that calculates the Andr e–Quillen cohomology of commutative S-algebras over HFp. c © 1999 Elsevier Science B.V. All rights reserved.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010