The young structure based on N-structure and its application in BCI/BCK-algebras
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A new structure called a young structure based on the N-structure is introduced and applied to BCK/BCI-algebra. The concepts of young subalgebra, ∈-subset, q-subset, and O-subset are introduced, and their related properties are studied. The relationship between N-subalgebra and young subalgebra is discussed. It is observed that every N-subalgebra is a young subalgebra, and an example is give to show that the converse does not hold. The characterization of young subalgebra is considered, and conditions are given to show that a young structure based on N-structure is a (strong) young subalgebra. Conditions under which ∈-subset, q-subset, and O-subset can be subalgebra are explored.
Abstract
A new structure called a young structure based on the N-structure is introduced and applied to BCK/BCI-algebra. The concepts of young subalgebra, ∈-subset, q-subset, and O-subset are introduced, and their related properties are studied. The relationship between N-subalgebra and young subalgebra is discussed. It is observed that every N-subalgebra is a young subalgebra, and an example is give to show that the converse does not hold. The characterization of young subalgebra is considered, and conditions are given to show that a young structure based on N-structure is a (strong) young subalgebra. Conditions under which ∈-subset, q-subset, and O-subset can be subalgebra are explored.
참고문헌 (9)
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