Fuzzy Congruence On MT-Groups

D. S. Mangalore; S. P. Kuncham; H. Panackal

Fuzzy Congruence On MT-Groups

D. S. Mangalore^*
, S. P. Kuncham
, H. Panackal

^*Corresponding author for this work

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

Abstract

In this paper, we consider an algebriac structure MMT-group, which is a generalization of both the concepts module over a nearring and a gamma nearring, introduced by Satyanarayana [12]. In this paper, we define a fuzzy congruence onMT-module and obtain the one-one correspondence between the fuzzy congruences and fuzzy ideals on MT-groups. Further, we establish various related results between the congruences and ideals of MT-groups.

Original language	English
Pages (from-to)	826-838
Number of pages	13
Journal	Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Volume	11
Issue number	3
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Statistics and Probability
Numerical Analysis
Mathematical Physics
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics
Applied Mathematics

Cite this

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title = "Fuzzy Congruence On MT-Groups",

abstract = "In this paper, we consider an algebriac structure MMT-group, which is a generalization of both the concepts module over a nearring and a gamma nearring, introduced by Satyanarayana [12]. In this paper, we define a fuzzy congruence onMT-module and obtain the one-one correspondence between the fuzzy congruences and fuzzy ideals on MT-groups. Further, we establish various related results between the congruences and ideals of MT-groups.",

author = "Mangalore, \{D. S.\} and Kuncham, \{S. P.\} and H. Panackal",

note = "Funding Information: The first author would like to extend his gratitude to Rayalaseema University, Kurnool and Moodlakatte Institute of Technology, Kundapur. The second and third author thank MIT, MAHE, Manipal for the kind encouragement. The authors also thank referees for their valuable suggestions. Publisher Copyright: {\textcopyright} Isik University, Department of Mathematics, 2021; all rights reserved.",

year = "2021",

language = "English",

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journal = "Turkish World Mathematical Society Journal of Applied and Engineering Mathematics",

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TY - JOUR

T1 - Fuzzy Congruence On MT-Groups

AU - Mangalore, D. S.

AU - Kuncham, S. P.

AU - Panackal, H.

N1 - Funding Information: The first author would like to extend his gratitude to Rayalaseema University, Kurnool and Moodlakatte Institute of Technology, Kundapur. The second and third author thank MIT, MAHE, Manipal for the kind encouragement. The authors also thank referees for their valuable suggestions. Publisher Copyright: © Isik University, Department of Mathematics, 2021; all rights reserved.

PY - 2021

Y1 - 2021

N2 - In this paper, we consider an algebriac structure MMT-group, which is a generalization of both the concepts module over a nearring and a gamma nearring, introduced by Satyanarayana [12]. In this paper, we define a fuzzy congruence onMT-module and obtain the one-one correspondence between the fuzzy congruences and fuzzy ideals on MT-groups. Further, we establish various related results between the congruences and ideals of MT-groups.

AB - In this paper, we consider an algebriac structure MMT-group, which is a generalization of both the concepts module over a nearring and a gamma nearring, introduced by Satyanarayana [12]. In this paper, we define a fuzzy congruence onMT-module and obtain the one-one correspondence between the fuzzy congruences and fuzzy ideals on MT-groups. Further, we establish various related results between the congruences and ideals of MT-groups.

UR - https://www.scopus.com/pages/publications/85109925296

UR - https://www.scopus.com/pages/publications/85109925296#tab=citedBy

M3 - Article

AN - SCOPUS:85109925296

SN - 2146-1147

VL - 11

SP - 826

EP - 838

JO - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

JF - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

IS - 3

ER -

Fuzzy Congruence On MT-Groups

Abstract

All Science Journal Classification (ASJC) codes

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