Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

Eunsuk Yang; Eun Hwan Roh; Young Bae Jun

doi:10.3390/math13030519

Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

Eunsuk Yang^*
, Eun Hwan Roh
, Young Bae Jun

^*Corresponding author for this work

Department of Philosophy

Chinju National University of Education
Gyeongsang National University

Research output: Contribution to journal › Journal article › peer-review

Abstract

Yang, Roh and Jun recently introduced kernels of homomorphisms in OBCI-algebras and left an ordered generalization of those kernels as a future work. As its answer, we introduce the concept of ordered kernels of OBCI-algebras in the homomorphism environment. To be more concrete, first of all, the notion of ordered kernels of OBCI-algebras is intruduced. Next, properties of those ordered kernels related to (ordered) subalgebras, (ordered) filters and functional compositions are discussed in homomorphisms of OBCI-algebras.

Original language	English
Article number	519
Journal	Mathematics
Volume	13
Issue number	3
DOIs	https://doi.org/10.3390/math13030519
State	Published - 2025.02

Keywords

(ordered) filter
(ordered) subalgebra
functional composition
homomorphism
ordered kernel

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics

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10.3390/math13030519

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title = "Ordered Kernels of OBCI-Algebras in the Homomorphism Environment",

abstract = "Yang, Roh and Jun recently introduced kernels of homomorphisms in OBCI-algebras and left an ordered generalization of those kernels as a future work. As its answer, we introduce the concept of ordered kernels of OBCI-algebras in the homomorphism environment. To be more concrete, first of all, the notion of ordered kernels of OBCI-algebras is intruduced. Next, properties of those ordered kernels related to (ordered) subalgebras, (ordered) filters and functional compositions are discussed in homomorphisms of OBCI-algebras.",

keywords = "(ordered) filter, (ordered) subalgebra, functional composition, homomorphism, ordered kernel",

author = "Eunsuk Yang and Roh, \{Eun Hwan\} and Jun, \{Young Bae\}",

note = "Publisher Copyright: {\textcopyright} 2025 by the authors.",

year = "2025",

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doi = "10.3390/math13030519",

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volume = "13",

journal = "Mathematics",

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T1 - Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

AU - Yang, Eunsuk

AU - Roh, Eun Hwan

AU - Jun, Young Bae

PY - 2025/2

Y1 - 2025/2

N2 - Yang, Roh and Jun recently introduced kernels of homomorphisms in OBCI-algebras and left an ordered generalization of those kernels as a future work. As its answer, we introduce the concept of ordered kernels of OBCI-algebras in the homomorphism environment. To be more concrete, first of all, the notion of ordered kernels of OBCI-algebras is intruduced. Next, properties of those ordered kernels related to (ordered) subalgebras, (ordered) filters and functional compositions are discussed in homomorphisms of OBCI-algebras.

AB - Yang, Roh and Jun recently introduced kernels of homomorphisms in OBCI-algebras and left an ordered generalization of those kernels as a future work. As its answer, we introduce the concept of ordered kernels of OBCI-algebras in the homomorphism environment. To be more concrete, first of all, the notion of ordered kernels of OBCI-algebras is intruduced. Next, properties of those ordered kernels related to (ordered) subalgebras, (ordered) filters and functional compositions are discussed in homomorphisms of OBCI-algebras.

KW - (ordered) filter

KW - (ordered) subalgebra

KW - functional composition

KW - homomorphism

KW - ordered kernel

UR - https://www.scopus.com/pages/publications/85217791681

U2 - 10.3390/math13030519

DO - 10.3390/math13030519

M3 - Journal article

AN - SCOPUS:85217791681

SN - 2227-7390

VL - 13

JO - Mathematics

JF - Mathematics

IS - 3

M1 - 519

ER -

Ordered Kernels of OBCI-Algebras in the Homomorphism Environment

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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