Results 121 to 130 of about 167 (147)
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Journal of Mathematical Imaging and Vision, 2005
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Journal of Mathematical Sciences, 2009
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DISTRIBUTIVE PSEUDOCOMPLEMENTED SEMILATTICES
Asian-European Journal of Mathematics, 2010In this paper we will extend the topological duality given in [1] to the class of distributive pseudocomplemented semilattices and to the class of distributive Stone semilattices.
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Injective Hulls of Semilattices
Canadian Mathematical Bulletin, 1970A (meet-) semilattice is an algebra with one binary operation ∧, which is associative, commutative and idempotent. Throughout this paper we are working in the category of semilattices. All categorical or general algebraic notions are to be understood in this category. In every semilattice S the relationdefines a partial ordering of S.
Bruns, G., Lakser, H.
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Asian-European Journal of Mathematics, 2011
We present some congruence on the dimonoid with an idempotent operation and use it to obtain semilattice decompositions of an idempotent dimonoid. Also we give necessary and sufficient conditions under which an arbitrary dimonoid is a semilattice of archimedean subdimonoids.
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We present some congruence on the dimonoid with an idempotent operation and use it to obtain semilattice decompositions of an idempotent dimonoid. Also we give necessary and sufficient conditions under which an arbitrary dimonoid is a semilattice of archimedean subdimonoids.
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Algebraically closedp-semilattices
Archiv der Mathematik, 1985A p-semilattice S is an algebra (S,\(\wedge,*,0)\) such that (S,\(\wedge)\) is a meet-semilattice with least element 0 and \(y\leq x^*\) iff \(y\wedge x=0\). S is algebraically closed (a.c.) iff any finite system of polynomial equations with constants from S has a solution in S itself provided it has one in some p-semilattice \(S_ 1\) extending S.
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Embeddability of the Semilattice L m 0 in Rogers Semilattices
Algebra and Logic, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Information Sciences, 1987
Properties of fuzzy ideals were considered by \textit{Y. Zhang} [BUSEFAL 27, 43-51 (1986; Zbl 0602.13002)]. Here the lattice of all fuzzy ideals of a given semilattice is considered. It has properties similar to the lattice of crisp ideals [cf. \textit{G. Grätzer}, Universal algebra (1968; Zbl 0182.342)].
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Properties of fuzzy ideals were considered by \textit{Y. Zhang} [BUSEFAL 27, 43-51 (1986; Zbl 0602.13002)]. Here the lattice of all fuzzy ideals of a given semilattice is considered. It has properties similar to the lattice of crisp ideals [cf. \textit{G. Grätzer}, Universal algebra (1968; Zbl 0182.342)].
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Pseudocomplemented and Implicative Semilattices
Canadian Journal of Mathematics, 1982Let L be a semilattice and let a ∊ L. We refer the reader to Definitions 2.2, 2.4, 2.5 and 2.12 below for the terminology. If L is a-implicative, let Ca be the set of a-closed elements of L, and let Da be the filter of a-dense elements of L. Then Ca is a Boolean algebra. If a = 0, then C0 and D0 are the usual closed algebra and dense filter of L.
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