On uniform ideals and finite Goldie dimension in R-groups

Tapatee Sahoo; Harikrishnan Panackal; Babushri Srinivas Kedukodi; Syam Prasad Kuncham

doi:10.31838/rna/2024.07.04.007

On uniform ideals and finite Goldie dimension in R-groups

Tapatee Sahoo^*
, Harikrishnan Panackal^*
, Babushri Srinivas Kedukodi^*
, Syam Prasad Kuncham^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	52-63
Number of pages	12
Journal	Results in Nonlinear Analysis
Volume	7
Issue number	4
DOIs	https://doi.org/10.31838/rna/2024.07.04.007
Publication status	Published - 18-11-2024

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Geometry and Topology
Applied Mathematics

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10.31838/rna/2024.07.04.007

Cite this

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abstract = "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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AU - Kuncham, Syam Prasad

PY - 2024/11/18

Y1 - 2024/11/18

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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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DO - 10.31838/rna/2024.07.04.007

M3 - Article

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On uniform ideals and finite Goldie dimension in R-groups

Abstract

All Science Journal Classification (ASJC) codes

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