Generalized essential ideals in R-groups

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

doi:10.56415/qrs.v32.10

Generalized essential ideals in R-groups

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Abstract

In this paper, we consider an R-group where R is a zero-symmetric right nearring. We define generalized essential ideal of an R-group and prove several properties. Further, we extend this notion to obtain a one-one correspondence between s-essential ideals of R-group and those of M_n(R)-group Rⁿ.

Original language	English
Pages (from-to)	119-128
Number of pages	10
Journal	Quasigroups and Related Systems
Volume	32
Issue number	1
DOIs	https://doi.org/10.56415/qrs.v32.10
Publication status	Published - 2024

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Discrete Mathematics and Combinatorics

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title = "Generalized essential ideals in R-groups",

abstract = "In this paper, we consider an R-group where R is a zero-symmetric right nearring. We define generalized essential ideal of an R-group and prove several properties. Further, we extend this notion to obtain a one-one correspondence between s-essential ideals of R-group and those of Mn(R)-group Rn.",

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

year = "2024",

doi = "10.56415/qrs.v32.10",

language = "English",

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AU - Sahoo, Tapatee

AU - Kuncham, Syam Prasad

AU - Kedukodi, Babushri Srinivas

AU - Panackal, Harikrishnan

PY - 2024

Y1 - 2024

N2 - In this paper, we consider an R-group where R is a zero-symmetric right nearring. We define generalized essential ideal of an R-group and prove several properties. Further, we extend this notion to obtain a one-one correspondence between s-essential ideals of R-group and those of Mn(R)-group Rn.

AB - In this paper, we consider an R-group where R is a zero-symmetric right nearring. We define generalized essential ideal of an R-group and prove several properties. Further, we extend this notion to obtain a one-one correspondence between s-essential ideals of R-group and those of Mn(R)-group Rn.

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UR - https://www.scopus.com/pages/publications/85193299453#tab=citedBy

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DO - 10.56415/qrs.v32.10

M3 - Article

AN - SCOPUS:85193299453

SN - 1561-2848

VL - 32

SP - 119

EP - 128

JO - Quasigroups and Related Systems

JF - Quasigroups and Related Systems

IS - 1

ER -

Generalized essential ideals in R-groups

Abstract

All Science Journal Classification (ASJC) codes

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