Homomorphisms of OBCI-algebras

Eunsuk Yang; Eun Hwan Roh; Young Bae Jun

doi:10.1007/s13370-025-01249-1

Homomorphisms of OBCI-algebras

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

1 Scopus citations

Abstract

Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.

Original language	English
Article number	30
Journal	Afrika Matematika
Volume	36
Issue number	1
DOIs	https://doi.org/10.1007/s13370-025-01249-1
State	Published - 2025.03

Keywords

(Ordered) filter
(Ordered) subalgebra
Homomorphism
Kernel
OBCI-algebra

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.1007/s13370-025-01249-1

Cite this

@article{9c81f9404e084d56b895fec6cad49f46,

title = "Homomorphisms of OBCI-algebras",

abstract = "Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.",

keywords = "(Ordered) filter, (Ordered) subalgebra, Homomorphism, Kernel, OBCI-algebra",

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

note = "Publisher Copyright: {\textcopyright} African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2025.",

year = "2025",

month = mar,

doi = "10.1007/s13370-025-01249-1",

language = "English",

volume = "36",

journal = "Afrika Matematika",

issn = "1012-9405",

number = "1",

}

TY - JOUR

T1 - Homomorphisms of OBCI-algebras

AU - Yang, Eunsuk

AU - Roh, Eun Hwan

AU - Jun, Young Bae

N1 - Publisher Copyright: © African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2025.

PY - 2025/3

Y1 - 2025/3

N2 - Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.

AB - Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.

KW - (Ordered) filter

KW - (Ordered) subalgebra

KW - Homomorphism

KW - Kernel

KW - OBCI-algebra

UR - https://www.scopus.com/pages/publications/85217450937

U2 - 10.1007/s13370-025-01249-1

DO - 10.1007/s13370-025-01249-1

M3 - Journal article

AN - SCOPUS:85217450937

SN - 1012-9405

VL - 36

JO - Afrika Matematika

JF - Afrika Matematika

IS - 1

M1 - 30

ER -

Homomorphisms of OBCI-algebras

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

Other files and links

Fingerprint

Cite this