On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras

Baghdad Science Journal

S. G. Gasim¹  N. F. Mohammed¹  A. S. Mohammed¹ 

[1] Department of Mathematics, College of Education for Pure Sciences/ Ibn-AL-Haithem, University of Baghdad, Baghdad, Iraq;

关键词: Cohomology group, Derivation, Inner derivation, Nilpotent associative algebra.;   

DOI  :  10.21123/bsj.2022.19.2.0329

来源: DOAJ

【 摘 要 】

The study of cohomology groups is one of the most intensive and exciting researches that arises from algebraic topology. Particularly, the dimension of cohomology groups is a highly useful invariant which plays a rigorous role in the geometric classification of associative algebras. This work focuses on the applications of low dimensional cohomology groups. In this regards, the cohomology groups of degree zero and degree one of nilpotent associative algebras in dimension four are described in matrix form.

【 授权许可】

Unknown