Generalized essential ideals in R-groups

Authors

Tapatee Sahoo, Manipal Academy of Higher Education
Syam Prasad Kuncham, Manipal Institute of Technology
Babushri Srinivas Kedukodi, Manipal Institute of Technology
Harikrishnan Panackal, Manipal Institute of Technology

Document Type

Article

Publication Title

Quasigroups and Related Systems

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.

First Page

119

Last Page

128

DOI

10.56415/qrs.v32.10

Publication Date

1-1-2024

Recommended Citation

Sahoo, Tapatee; Kuncham, Syam Prasad; Kedukodi, Babushri Srinivas; and Panackal, Harikrishnan, "Generalized essential ideals in R-groups" (2024). Open Access archive. 11466.
https://impressions.manipal.edu/open-access-archive/11466