The Concept of Pseudoblocks of Endomorphism Algebra

Authors

  • Ahmed A. Khammash Department of Mathematics, Umm Al-Qura University Makkah, Saudi Arabia.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v5/11635D

Keywords:

Blocks, pseudoblocks, modules, endomorphism algebra, representation type

Abstract

We introduce the concept of pseudoblocks for the endomorphism rings of modules over finite dimensional algebras. The concept is defined in terms of the homomorphism space between direct summands and the idea was originated from studying the impact of the Brauer-Fitting correspondence on block theory.

Published

2021-11-22

How to Cite

Ahmed A. Khammash. (2021). The Concept of Pseudoblocks of Endomorphism Algebra. Recent Advances in Mathematical Research and Computer Science Vol. 5, 28–32. https://doi.org/10.9734/bpi/ramrcs/v5/11635D