Semi-Centralizing Maps and k-Commuting Maps of Module Extension Algebras

Author(s):

Sepideh Ebrahimi , S.Talebi

Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

We investigate the structure of semi-centralizing and kcommuting maps of module extension algebras. In particular, we give conditions that every semi-centralizing and k-commuting map L of such an algebra is of the form L(c) = cx + h(c), where x lies in the center of the algebra and h is a linear map from the algebra to its center.

Keywords:

Module extension , centralzing map , commutingmap , k-commuting mapp , semi centralzing map , skew-centralizingmap

Language:
English
Published:
Journal of Mathematical Extension, Volume:9 Issue: 2, Spring 2015
Pages:
9 to 25
https://www.magiran.com/p2264867