Some semilattice decompositions of dimonoids

Demonstratio mathematica

article

Anatolii V. Zhuchok¹ 

[1] Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University

关键词: dimonoid;    semigroup;    semilattice of subdimonoids;   

DOI  :  10.1515/dema-2013-0323

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

We show that the system of axioms of a dimonoid is independent and prove that every dimonoid with a commutative operation is a semilattice of archimedean subdimonoids, every dimonoid with a commutative periodic semigroup is a semilattice of unipotent subdimonoids, every dimonoid with a commutative operation is a semilattice of a -connected subdimonoids and every idempotent dimonoid is a semilattice of rectangular subdimonoids.

【 授权许可】

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