Generalized of Triangular Algebras

Suppose that A and B are algebras, M is an A,B-module and N is B,A-module,0A MB    is the triangular algebra and square algebra is a algebra S of the formA MN B   . In this article, we will present an elementary method to describe the second cohomology groupsH 2 (S ,S )for a variety of algebras of this form and we establish this result for n mZ Z Z Z   where (m,n)=1 .

کلیدواژه ها:

Hochschild Cohomology ، Second Hochschild Cohomology ، Square algebra ، Triangular algebra