Uniform elements in N-groups

Tapatee Sahoo; Babushri Srinivas Kedukodi; Harikrishnan Panackal; Venugopala Rao Paruchuri; Syam Prasad Kuncham

doi:10.56415/qrs.v33.25

Uniform elements in N-groups

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

^*Corresponding author for this work

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

Abstract

A zero-symmetric right nearring N is studied. We study relative essential ideal and relative uniform ideal in module over a matrix nearring corresponding to those in N-group (over itself). We explore the properties that show interplay between the ideals of N-group (act on itself) and Nⁿ (over M_n(N)). Finally, we show that the finite Goldie dimension (f:G:d:) with respect to relative uniform ideal of _NN is equal to that of M_n(N)-group Nⁿ.

Original language	English
Pages (from-to)	335-344
Number of pages	10
Journal	Quasigroups and Related Systems
Volume	33
DOIs	https://doi.org/10.56415/qrs.v33.25
Publication status	Published - 01-2025

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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abstract = "A zero-symmetric right nearring N is studied. We study relative essential ideal and relative uniform ideal in module over a matrix nearring corresponding to those in N-group (over itself). We explore the properties that show interplay between the ideals of N-group (act on itself) and Nn (over Mn(N)). Finally, we show that the finite Goldie dimension (f:G:d:) with respect to relative uniform ideal of NN is equal to that of Mn(N)-group Nn.",

author = "Tapatee Sahoo and Kedukodi, \{Babushri Srinivas\} and Harikrishnan Panackal and Paruchuri, \{Venugopala Rao\} and Kuncham, \{Syam Prasad\}",

year = "2025",

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doi = "10.56415/qrs.v33.25",

language = "English",

volume = "33",

pages = "335--344",

journal = "Quasigroups and Related Systems",

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AU - Sahoo, Tapatee

AU - Kedukodi, Babushri Srinivas

AU - Panackal, Harikrishnan

AU - Paruchuri, Venugopala Rao

AU - Kuncham, Syam Prasad

PY - 2025/1

Y1 - 2025/1

N2 - A zero-symmetric right nearring N is studied. We study relative essential ideal and relative uniform ideal in module over a matrix nearring corresponding to those in N-group (over itself). We explore the properties that show interplay between the ideals of N-group (act on itself) and Nn (over Mn(N)). Finally, we show that the finite Goldie dimension (f:G:d:) with respect to relative uniform ideal of NN is equal to that of Mn(N)-group Nn.

AB - A zero-symmetric right nearring N is studied. We study relative essential ideal and relative uniform ideal in module over a matrix nearring corresponding to those in N-group (over itself). We explore the properties that show interplay between the ideals of N-group (act on itself) and Nn (over Mn(N)). Finally, we show that the finite Goldie dimension (f:G:d:) with respect to relative uniform ideal of NN is equal to that of Mn(N)-group Nn.

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UR - https://www.scopus.com/pages/publications/105030391200#tab=citedBy

U2 - 10.56415/qrs.v33.25

DO - 10.56415/qrs.v33.25

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VL - 33

SP - 335

EP - 344

JO - Quasigroups and Related Systems

JF - Quasigroups and Related Systems

ER -

Uniform elements in N-groups

Abstract

All Science Journal Classification (ASJC) codes

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