Inferior mappings and applications
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Using partially ordered sets, the inferior mapping is introduced, and its application to BCK/BCI-algebras is discussed. The notions of inferior subalgebras and (commutative) inferior ideals are introduced, and their relations and related properties are investigated. Conditions for an inferior ideal to be commutative are provided. An extension property for a commutative inferior ideal is established.
Abstract
Using partially ordered sets, the inferior mapping is introduced, and its application to BCK/BCI-algebras is discussed. The notions of inferior subalgebras and (commutative) inferior ideals are introduced, and their relations and related properties are investigated. Conditions for an inferior ideal to be commutative are provided. An extension property for a commutative inferior ideal is established.