FUZZY IDEALS IN MATRIX NEARRINGS

V. Paruchuri; S. Bhavanari; R. Salvankar; H. Panackal; S. P. Kuncham

FUZZY IDEALS IN MATRIX NEARRINGS

V. Paruchuri
, S. Bhavanari
, R. Salvankar
, H. Panackal
, S. P. Kuncham^*

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

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

Abstract

We introduce fuzzy ideal of a matrix nearring corresponding to a fuzzy ideal of a nearring. We prove properties relating to fuzzy ideals of a nearring and that of a matrix nearring. Finally, prove an order preserving one-one correspondence between the fuzzy ideals of R (over itself) and that of Mn(R)-group Rⁿ.

Original language	English
Pages (from-to)	1784-1792
Number of pages	9
Journal	Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Volume	14
Issue number	4
Publication status	Published - 2024

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 IDEALS IN MATRIX NEARRINGS",

abstract = "We introduce fuzzy ideal of a matrix nearring corresponding to a fuzzy ideal of a nearring. We prove properties relating to fuzzy ideals of a nearring and that of a matrix nearring. Finally, prove an order preserving one-one correspondence between the fuzzy ideals of R (over itself) and that of Mn(R)-group Rn.",

author = "V. Paruchuri and S. Bhavanari and R. Salvankar and H. Panackal and Kuncham, \{S. P.\}",

year = "2024",

language = "English",

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

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T1 - FUZZY IDEALS IN MATRIX NEARRINGS

AU - Paruchuri, V.

AU - Bhavanari, S.

AU - Salvankar, R.

AU - Panackal, H.

AU - Kuncham, S. P.

PY - 2024

Y1 - 2024

N2 - We introduce fuzzy ideal of a matrix nearring corresponding to a fuzzy ideal of a nearring. We prove properties relating to fuzzy ideals of a nearring and that of a matrix nearring. Finally, prove an order preserving one-one correspondence between the fuzzy ideals of R (over itself) and that of Mn(R)-group Rn.

AB - We introduce fuzzy ideal of a matrix nearring corresponding to a fuzzy ideal of a nearring. We prove properties relating to fuzzy ideals of a nearring and that of a matrix nearring. Finally, prove an order preserving one-one correspondence between the fuzzy ideals of R (over itself) and that of Mn(R)-group Rn.

UR - https://www.scopus.com/pages/publications/85206819830

UR - https://www.scopus.com/pages/publications/85206819830#tab=citedBy

M3 - Article

AN - SCOPUS:85206819830

SN - 2146-1147

VL - 14

SP - 1784

EP - 1792

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

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

IS - 4

ER -

FUZZY IDEALS IN MATRIX NEARRINGS

Abstract

All Science Journal Classification (ASJC) codes

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