Armenian Journal of Mathematics, 10(10)
ISSN 1829-1163
2022; 1–15
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Subnexuses Based on N-structures

Morteza Norouzi*, Ameneh Asadi, Young Bae Jun

Received: 2024-12-17 · Published: 2022-09-19

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Originally published in Armenian Journal of Mathematics, 10(10), 2022 — https://doi.org/10.52737/18291163-2018.10.10-1-15.

Original title
Subnexuses Based on N-structures
Authors
Morteza Norouzi, Ameneh Asadi, Young Bae Jun
Source journal
Armenian Journal of Mathematics, 10(10)
Published
2022-09-19
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2018.10.10-1-15

Abstract

The notion of a subnexus based on NN-function (briefly, NN-subnexus) is introduced, and related properties are investigated. Also, the notions of NN-subnexus of type (α,β)(α,β), where (α,β)(α,β) is (∈,∈)(∈,∈), (∈,q)(∈,q), (∈,∈∨q)(∈,∈∨q), (q,∈)(q,∈), (q,q)(q,q), (q,∈∨q)(q,∈∨q), (¯¯¯¯∈,¯¯¯¯∈)(∈¯,∈¯) and (¯¯¯¯∈,¯¯¯¯∈∨¯¯¯q)(∈¯,∈¯∨q¯), are introduced, and their basic properties are investigated. Conditions for an NN-structure to be an NN-subnexus of type (q,∈∨q)(q,∈∨q) are given, and characterizations of NN-subnexus of type (∈,∈∨q)(∈,∈∨q) and (¯¯¯¯∈,¯¯¯¯∈∨¯¯¯q)(∈¯,∈¯∨q¯) are provided. Homomorphic image and preimage of NN-subnexus are discussed.
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