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73 results on '"Lee, Kyoung Ja"'

15. Closed Int Soft $\mathrm{BCI}$ -Ideals and Int Soft c- $\mathrm{BCI}$ -Ideals

Author

Jun, Young Bae, Lee, Kyoung Ja, and Roh, Eun Hwan

Subjects
Quantitative Biology::Neurons and Cognition, Mathematics::Commutative Algebra, Astrophysics::High Energy Astrophysical Phenomena, Computer Science::Human-Computer Interaction
Abstract

The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notions of closed intersectional soft $\mathrm{BCI}$ -ideals and intersectional soft commutative $\mathrm{BCI}$ -ideals are introduced, and related properties are investigated. Conditions for an intersectional soft $\mathrm{BCI}$ -ideal to be closed are provided. Characterizations of an intersectional soft commutative $\mathrm{BCI}$ -ideal are established, and a new intersectional soft c- $\mathrm{BCI}$ -ideal from an old one is constructed.

Published
2012

16. Generalizations of $\mathrm{\scr N}$ -Subalgebras in BCK/BCI-Algebras Based on Point $\mathrm{\scr N}$ -Structures

Author

Jun, Young Bae, Lee, Kyoung Ja, and Kang, Min Su

Subjects
Statistics::Applications, Mathematics::Quantum Algebra, Condensed Matter::Strongly Correlated Electrons, Mathematics::Representation Theory
Abstract

The aim of this article is to obtain more general forms than the papers of (Jun et al. (2010); Jun et al. (in press)). The notions of $\mathrm{\scr N}$ -subalgebras of types $(\in ,{q}_{k}),(\in ,\in \vee {q}_{k})$ , and $(q,\in \vee {q}_{k})$ are introduced, and the concepts of $\mathrm{ }{q}_{k}$ -support and $\in \vee {q}_{k}$ -support are also introduced. Several related properties are investigated. Characterizations of $\mathrm{\scr N}$ -subalgebra of type $(\in ,\in \vee {q}_{k})$ are discussed, and conditions for an $\mathrm{\scr N}$ -subalgebra of type $(\in ,\in \vee {q}_{k})$ to be an $\mathrm{\scr N}$ -subalgebra of type $(\in ,\in )$ are considered.

Published
2012

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