논문KCI 등재
Weak Distributive n-Semilattices and n-Lattices
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Abstract
We define weak distributive n-semilattices and n-lattices, using variants of the absorption law and those of the distributive law. From a weak distributive n-semilattice, we construct direct system of subalgebras which are weak distributive n-lattices and show that its direct limit is a reflection of the category wDn-SLatt of the weak distributive n-semilattices.
참고문헌 (4)
- "Introdution to Lattices and Order" (1990), Combridge Univer-sity Press
- "Generalized absorption laws in bisemilattices", pp.304~318 (1984), Algebra Universalis
- "regular identities in lattices", pp.179~188 (1971)
- "Some remarks on sums of direct systems of algebras", pp.301~308 (1968)
관련 논문AI추천
On Semirings which are Distributive Lattices of RingsS. K. Maity경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호Semilattices with an InvolutionIVAN CHAJDA경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호Remarks on the Valid Equations in Lattice Implication AlgebrasJooheeJeong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제4호Fuzzy sublattices of latticesCh. Santhi Sundar Raj, K. Ramanuja Rao, K. Rama Prasad, Natnael Teshale A.기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호On Weakly Commutative Abundant SemigroupsGao Zhenlin, Zuo Heli경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호A Note on Regular Ternary SemiringsSukhendu Kar, Tapan Kumar Dutta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호
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