TY - JOUR
T1 - On uniform ideals and finite Goldie dimension in R-groups
AU - Sahoo, Tapatee
AU - Panackal, Harikrishnan
AU - Kedukodi, Babushri Srinivas
AU - Kuncham, Syam Prasad
N1 - Publisher Copyright:
© 2024, Erdal Karapinar. All rights reserved.
PY - 2024/11/18
Y1 - 2024/11/18
N2 - We consider an R-group G, where R is a (right) nearring. We introduce the notions relative uniform and strictly relative uniform ideals (or R-subgroup) which are not uniform, in general. We prove important properties and obtain a characterization for an R-subgroup to have finite Goldie dimension, in terms of strictly relative uniform R-subgroups. We provide the necessary examples.
AB - We consider an R-group G, where R is a (right) nearring. We introduce the notions relative uniform and strictly relative uniform ideals (or R-subgroup) which are not uniform, in general. We prove important properties and obtain a characterization for an R-subgroup to have finite Goldie dimension, in terms of strictly relative uniform R-subgroups. We provide the necessary examples.
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U2 - 10.31838/rna/2024.07.04.007
DO - 10.31838/rna/2024.07.04.007
M3 - Article
AN - SCOPUS:85210245384
SN - 2636-7556
VL - 7
SP - 52
EP - 63
JO - Results in Nonlinear Analysis
JF - Results in Nonlinear Analysis
IS - 4
ER -