Results 11 to 20 of about 85 (73)
Fuzzy Annihilator Ideals of C‐Algebra
Advances in Fuzzy Systems, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce the concept of relative fuzzy annihilator ideals in C‐algebras and investigate some its properties. We characterize relative fuzzy annihilators in terms of fuzzy points. It is proved that the class of fuzzy ideals of C‐algebras forms Heything algebra. We observe that the class of all fuzzy annihilator ideals can be made as a
Wondwosen Zemene Norahun +3 more
wiley +1 more source
L‐Fuzzy Semiprime Ideals of a Poset
Advances in Fuzzy Systems, Volume 2020, Issue 1, 2020., 2020 In this paper, we introduce the concept of L‐fuzzy semiprime ideal in a general poset. Characterizations of L‐fuzzy semiprime ideals in posets as well as characterizations of an L‐fuzzy semiprime ideal to be L‐fuzzy prime ideal are obtained. Also, L‐fuzzy prime ideals in a poset are characterized.
Berhanu Assaye Alaba +2 more
wiley +1 more source
Finite pseudocomplemented lattices and ‘permutoedre’
Discrete Mathematics, 1993 The authors summarize, without proof, their results on the structure of finite meet pseudocomplemented, meet and join pseudocomplemented, and pseudocomplemented and complemented lattices. Some sample results are as follows. A finite lattice is a meet pseudocomplemented lattice if and only if each atom has a meet pseudocomplement, and a finite meet ...
C. Chameni Nembua, Bernard Monjardet
openaire +1 more source
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.
openaire +2 more sources
Annihilators on weakly standard BCC‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 22, Page 3631-3643, 2005., 2005 In a recent paper the authors presented a new construction of BCC‐algebras derived from posets with the top element 1. Resulting BCC‐algebras, called weakly standard, are those for which every 4‐element subset containing 1 is a subalgebra. In this paper we continue our investigations focusing on the properties of their lattices of congruence kernels.
R. Halaš, L. Plojhar
wiley +1 more source
A Sheaf Representation of Distributive Pseudocomplemented Lattices [PDF]
Proceedings of the American Mathematical Society, 1976 The main result of this paper shows that a distributive pseudocomplemented lattice ( L ; ∨
openaire +1 more source
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
wiley +1 more source
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
openaire +2 more sources
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.
openaire +1 more source
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
openaire +2 more sources