Displaying similar documents to “Domination of operators in the non-commutative setting”

Commutative Energetic Subsets of BCK-Algebras

Young Bae Jun, Eun Hwan Roh, Seok Zun Song (2016)

Bulletin of the Section of Logic

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The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. Also conditions for a subset to be a C-energetic subset are discussed. We decompose BCK-algebra by a partition which consists of a C-energetic subset and a commutative ideal.

On hyper BCC-algebras.

Borzooei, R.A., Dudek, W.A., Koohestani, N. (2006)

International Journal of Mathematics and Mathematical Sciences

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Ideals of BCI-algebras and their Properties

Chenglong Wu, Yuzhong Ding (2008)

Formalized Mathematics

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In this article three classes of ideals are discussed: associative ideals, commutative ideals, implicative ideals and positive implicative ideals, and their elementary properties. Some of their properties and the relationships between them have not been proven yet, and will be completed in the following article.MML identifier: BCIIDEAL, version: 7.8.10 4.99.1005

Positive Implicative Soju Ideals in BCK-Algebras

Xiao Long Xin, Rajab Ali Borzooei, Young Bae Jun (2019)

Bulletin of the Section of Logic

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The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.

Superior subalgebras and ideals of BCK/BCI-algebras

Young Bae Jun, Seok Zun Song (2016)

Discussiones Mathematicae General Algebra and Applications

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The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.