Results 21 to 30 of about 203 (97)
Sectionally pseudocomplemented lattices and semilattices
Advances in Algebra, 2003 I. Chajda, R. Halaš
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Stone’s topology for pseudocomplemented and bicomplemented lattices [PDF]
Transactions of the American Mathematical Society, 1972 In an earlier paper the author has proved the existence of prime ideals and prime dual ideals in a pseudocomplemented lattice (not necessarily distributive). The present paper is devoted to a study of Stone's topology on the set of prime dual ideals of a pseudocomplemented and a bicomplemented lattice.
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An algebraic analysis of implication in non-distributive logics [PDF]
, 2023 In this paper, we introduce the concept of a (lattice) skew Hilbert algebra as a natural generalization of Hilbert algebras. This notion allows a unified treatment of several structures of prominent importance for mathematical logic, e.g.
Paseka J. +5 more
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Representation of certain classes of distributive lattices by sections of sheaves
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 461-476, 1980., 1979 Epstein and Horn ([6]) proved that a Post algebra is always a P‐algebra and in a P‐algebra, prime ideals lie in disjoint maximal chains. In this paper it is shown that a P‐algebra L is a Post algebra of order n ≥ 2, if the prime ideals of L lie in disjoint maximal chains each with n − 1 elements.
U. Maddana Swamy, P. Manikyamba
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Subdirectly irreducible sectionally pseudocomplemented semilattices [PDF]
, 2007 summary:Sectionally pseudocomplemented semilattices are an extension of relatively pseudocomplemented semilattices—they are meet-semilattices with a greatest element such that every section, i.e., every principal filter, is a pseudocomplemented ...
R. Halaš +3 more
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Finitely generated pseudocomplemented distributive lattices [PDF]
Journal of the Australian Mathematical Society, 1975 If L is a pseudocomplemented distributive lattice which is generated by a finite set X, then we will show that there exists a subset G of L which is associated with X in a natural way that ¦G¦ ≦ ¦X¦ + 2¦x¦ and whose structure as a partially ordered set characterizes the structure of L to a great extent.
Berman, J., Dwinger, Ph.
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Congruences on distributive pseudocomplemented lattices [PDF]
Bulletin of the Australian Mathematical Society, 1973 Let B0 ⊂ B1 ⊂ Bn ⊂ … ⊂: Bw be all the non-trivial varieties of distributive pseudocomplemented lattices (L; ∨, ∧, *, 0, 1) considered as algebras of type (2, 2, 1, 0, 0). A subset J of such an algebra L is a congruence-kernel if and only if it is a lattice-ideal and x** ∈ J for each x ∈ J. The smallest congruence having J as its kernel is Θ(J), where a
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Sectionally Pseudocomplemented Residual Lattice
Daffodil International University Journal of Science and Technology, 1970 At first, we recall the basic concept, By a residual lattice is meant an algebra L = (L,∨,∧,∗,o,0,1) such that (i) L = (L,∨,∧,0,1) is a bounded lattice, (ii) L = (L,∗,1) is a commutative monoid, (iii) it satisfies the so-called adjoin ness property: (x ∨ y) ∗ z = y if and only if y ≤ z ≤ x o y Let us note [7] that x ∨ y is the greatest element of the ...
Rahman, Md. Zaidur +2 more
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Congruences on pseudocomplemented semilattices
, 2000 It is known that congruence lattices of pseudocomplemented semilattices are pseudocomplemented [4]. Many interesting properties of congruences on pseudocomplemented semilattices were described by Sankappanavar in [4], [5], [6].
Heleyová, Zuzana
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Properties and special filters of pseudocomplemented posets
, 2023 Investigating the structure of pseudocomplemented lattices started ninety years ago with papers by V. Glivenko, G. Birkhoff and O. Frink and this structure was essentially developed by G. Gr\"atzer.
Länger, Helmut, Chajda, Ivan
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