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Generalized essential ideals in R-groups.

Authors :
Sahoo, Tapatee
Kuncham, Syam Prasad
Kedukodi, Babushri Srinivas
Panackal, Harikrishnan
Source :
Quasigroups & Related Systems; 2024, Vol. 32 Issue 1, p119-128, 10p
Publication Year :
2024

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<subscript>n</subscript>(R)-group R<superscript>n</superscript>. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15612848
Volume :
32
Issue :
1
Database :
Complementary Index
Journal :
Quasigroups & Related Systems
Publication Type :
Academic Journal
Accession number :
177474118
Full Text :
https://doi.org/10.56415/qrs.v32.10