• 호남수학학술지
• /
• 제22권1호
• /
• pp.77-82
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• 2000

After considering an equivalence relation on a directed preordered set, we construct an isomorphism between derived limits of inverse systems indexed by the directed (pre)ordered sets.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제4권2호
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• pp.131-135
• /
• 1997

We give the relation between the semilattice congruence N and the set of prime ideals of the ordered $\Gamma$-semigroup M.

• 대한수학회논문집
• /
• 제13권4호
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• pp.751-757
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• 1998

Using idempotents in quasi-lattices, we show that the category Latt of lattices is both reflective and coreflective in the category qLatt of quasi-lattices and homomorphisms. It is also shown that a quasi-ordered set is a quasi-lattice iff its partially ordered reflection is a lattice.

• Journal of applied mathematics & informatics
• /
• 제41권1호
• /
• pp.133-154
• /
• 2023

In this paper, we introduce the concept of tripolar fuzzy sub-semigroups, tripolar fuzzy ideals, tripolar fuzzy quasi-ideals, and tripolar fuzzy bi-ideals of an ordered semigroup and study some algebraic properties of them. Moreover, we prove that tripolar fuzzy bi-ideals and quasi-ideals coincide only in a particular class of ordered semigroups. Finally, we prove that every tripolar fuzzy quasi-ideal is the intersection of a tripolar fuzzy left and a tripolar fuzzy right ideal.

• 대한수학회지
• /
• 제32권1호
• /
• pp.1-5
• /
• 1995

• Kyungpook Mathematical Journal
• /
• 제1권2호
• /
• pp.57-59
• /
• 1958

• 한국수학교육학회지시리즈A:수학교육
• /
• 제25권3호
• /
• pp.31-33
• /
• 1987

• Kyungpook Mathematical Journal
• /
• 제2권1호
• /
• pp.17-22
• /
• 1959

• Korean Journal of Mathematics
• /
• 제23권4호
• /
• pp.557-569
• /
• 2015

We dene a fuzzy lattice as a fuzzy relation, develop some basic properties of the fuzzy lattice, show that the operations of join and meet in fuzzy lattices are isotone and associative, characterize a fuzzy lattice by its level set, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

• 대한수학회논문집
• /
• 제36권4호
• /
• pp.829-833
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• 2021

We investigate the Möbius transformation action of PSL(2, ℝ) on the set of mutually distinct ordered triple points of ℝ ∪ {∞}.