Introduction to NeutroNearrings

G. R. Vadiraja Bhatta; K. J. Manasa; B. Gautham Shenoy; Prasanna Poojary; B. J. Chaithra

Introduction to NeutroNearrings

G. R. Vadiraja Bhatta
, K. J. Manasa
, B. Gautham Shenoy
, Prasanna Poojary^*
, B. J. Chaithra

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

Algebraic concepts and structures are enriched with the special types of operations and axioms known as NeutroOperations and NeutroAxioms. Various types of NeutroAlgebras are studied using several such defined concepts. The objective of this paper is to introduce the concept of NeutroNearrings. Several interesting results and examples of NeutroNearrings, NeutroSubRings, NeutroQuotientNearrings and NeutroNearringHomomorphisms are presented.

Original language	English
Pages (from-to)	445-455
Number of pages	11
Journal	Neutrosophic Sets and Systems
Volume	46
Publication status	Published - 2021

All Science Journal Classification (ASJC) codes

Logic
Applied Mathematics

Cite this

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title = "Introduction to NeutroNearrings",

abstract = "Algebraic concepts and structures are enriched with the special types of operations and axioms known as NeutroOperations and NeutroAxioms. Various types of NeutroAlgebras are studied using several such defined concepts. The objective of this paper is to introduce the concept of NeutroNearrings. Several interesting results and examples of NeutroNearrings, NeutroSubRings, NeutroQuotientNearrings and NeutroNearringHomomorphisms are presented.",

author = "\{Vadiraja Bhatta\}, \{G. R.\} and Manasa, \{K. J.\} and \{Gautham Shenoy\}, B. and Prasanna Poojary and Chaithra, \{B. J.\}",

note = "Funding Information: We have introduced in this paper the concept of NeutroNearrings by considering three NeutroAxioms(NeutroGroup(additive)), NeutroSemigroup(multiplicative) and left and right NeutroDistributive laws(multiplication over addition). Several intresting results and examples on NeutroNearrings, NeutroSubrings, NeutroQuotientNearrings and NeutroNearringHo-momorphisms are presented. Funding: {\textquotedblleft}Fourth author and fifth author received funding from VGST/KSTePS and DST, GoK, India{\textquotedblright} Acknowledgments: Fourth author and fifth author thanks VGST/KSTePS and DST, GoK, India for sanctioning the project [VGST/GRD-897/2019-20/2020-21]. The authors are grateful to Prof. Dr. Florentin Smarandache from University of New Mexico for his valuable ideas and guidance. Publisher Copyright: {\textcopyright} 2021",

year = "2021",

language = "English",

volume = "46",

pages = "445--455",

journal = "Neutrosophic Sets and Systems",

issn = "2331-6055",

publisher = "University of New Mexico",

}

TY - JOUR

T1 - Introduction to NeutroNearrings

AU - Vadiraja Bhatta, G. R.

AU - Manasa, K. J.

AU - Gautham Shenoy, B.

AU - Poojary, Prasanna

AU - Chaithra, B. J.

N1 - Funding Information: We have introduced in this paper the concept of NeutroNearrings by considering three NeutroAxioms(NeutroGroup(additive)), NeutroSemigroup(multiplicative) and left and right NeutroDistributive laws(multiplication over addition). Several intresting results and examples on NeutroNearrings, NeutroSubrings, NeutroQuotientNearrings and NeutroNearringHo-momorphisms are presented. Funding: “Fourth author and fifth author received funding from VGST/KSTePS and DST, GoK, India” Acknowledgments: Fourth author and fifth author thanks VGST/KSTePS and DST, GoK, India for sanctioning the project [VGST/GRD-897/2019-20/2020-21]. The authors are grateful to Prof. Dr. Florentin Smarandache from University of New Mexico for his valuable ideas and guidance. Publisher Copyright: © 2021

PY - 2021

Y1 - 2021

N2 - Algebraic concepts and structures are enriched with the special types of operations and axioms known as NeutroOperations and NeutroAxioms. Various types of NeutroAlgebras are studied using several such defined concepts. The objective of this paper is to introduce the concept of NeutroNearrings. Several interesting results and examples of NeutroNearrings, NeutroSubRings, NeutroQuotientNearrings and NeutroNearringHomomorphisms are presented.

AB - Algebraic concepts and structures are enriched with the special types of operations and axioms known as NeutroOperations and NeutroAxioms. Various types of NeutroAlgebras are studied using several such defined concepts. The objective of this paper is to introduce the concept of NeutroNearrings. Several interesting results and examples of NeutroNearrings, NeutroSubRings, NeutroQuotientNearrings and NeutroNearringHomomorphisms are presented.

UR - https://www.scopus.com/pages/publications/85119660604

UR - https://www.scopus.com/pages/publications/85119660604#tab=citedBy

M3 - Article

AN - SCOPUS:85119660604

SN - 2331-6055

VL - 46

SP - 445

EP - 455

JO - Neutrosophic Sets and Systems

JF - Neutrosophic Sets and Systems

ER -

Introduction to NeutroNearrings

Abstract

All Science Journal Classification (ASJC) codes

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