T-Rickart modules

S. Ebrahimi Atani, M. Khoramdel, and S. Dolati Pish Hesari. "T-Rickart modules." Colloquium Mathematicae 128.1 (2012): 87-100. <http://eudml.org/doc/283848>.

@article{S2012,
abstract = {We introduce the notions of T-Rickart and strongly T-Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that R is right Σ-t-extending if and only if every R-module is T-Rickart. Also, every free R-module is T-Rickart if and only if $R = Z₂(R_\{R\})⊕ R^\{\prime \}$, where R’ is a hereditary right R-module. Examples illustrating the results are presented.},
author = {S. Ebrahimi Atani, M. Khoramdel, S. Dolati Pish Hesari},
journal = {Colloquium Mathematicae},
keywords = {t-extending modules; t-Baer modules; T-Rickart modules; strongly T-Rickart modules},
language = {eng},
number = {1},
pages = {87-100},
title = {T-Rickart modules},
url = {http://eudml.org/doc/283848},
volume = {128},
year = {2012},
}

TY - JOUR
AU - S. Ebrahimi Atani
AU - M. Khoramdel
AU - S. Dolati Pish Hesari
TI - T-Rickart modules
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 1
SP - 87
EP - 100
AB - We introduce the notions of T-Rickart and strongly T-Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that R is right Σ-t-extending if and only if every R-module is T-Rickart. Also, every free R-module is T-Rickart if and only if $R = Z₂(R_{R})⊕ R^{\prime }$, where R’ is a hereditary right R-module. Examples illustrating the results are presented.
LA - eng
KW - t-extending modules; t-Baer modules; T-Rickart modules; strongly T-Rickart modules
UR - http://eudml.org/doc/283848
ER -