Distributive lattice
0-Ideals of a 0-Distributive Lattice
... 0- distributive lattice is ...normal lattice forms a sub lattice of all of its ideals but not in ...0- distributive lattice forms a distributivelattice under thespecially defined ...
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Annulets in a 0-distributive Lattice
... non- distributive lattices with 0. Moreover, [9,10] studied on 0-distributive property for near ...in distributive lattices have been first studied by Cornish in [4, ...
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On Prime, Minimal Prime and Annihilator Ideals in an Almost Distributive Lattice
... Distributed Lattice(ADL) was introduced by ...and lattice theoretically, have come into ...and lattice theoretic generalizations of a Boolean algebra, the concept of an "Al- most ...
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Vol 8, No 10 (2017)
... In section 2, we recall the definition of an Almost Distributive Lattice (ADL) and certain elementary properties of an ADL. These are taken from Swamy, U.M. and Rao, G.C. [4] and Rao, G.C. [2]. Also we ...
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A New Approach to Rough Lattices and Rough Fuzzy Lattices Based on Fuzzy Ideals
... Based on [5], in this paper, we consider the relationships between rough sets, fuzzy sets and distributive lattices. A new congruence relation U (µ, t) induced by a fuzzy ideal µ of a distributive ...
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A Relation on Almost Distributive Lattices
... It can be observed that an ADL R satisfies almost all the properties of a distributive lattice except the right distributivity of ∨ over ∧, commutativity of ∨, commutativity of ∧. Any one of these ...
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Vol 8, No 10 (2017)
... Boolean algebra. In [1], Frink, O. proved that any pseudo- complemetation on a semilattice is equationally definable. In [4], Swamy, U.M., Rao, G.C. and Nanaji Rao, G. introduced the concept of pseudo-complemetation * on ...
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Vol 3, No 2 (2012)
... Almost Distributive Lattice and studied its ...Almost Distributive Lattice (ADL) A can have several pseudo-complementations and they discussed the relation between the maximal elements and the ...
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Vol 9, No 3 (2018)
... I n this paper, a method to construct sheaf of Ω -algebras via compatible tolerance relations is presented. A necessary and sufficient condition for the existence of sheaf of Ω -algebras via tolerances is also observed. ...
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Inclusion, Disjointness and Choice: The Logic of Linguistic Classification
... To complete our study of the logic of simple inheritance, we employ a well-known latticetheoretic technique for embedding a partial order into a distributive lattice; when applied to con[r] ...
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On Semi Prime Ideals in Nearlattices
... a lattice. An ideal I of a lattice L is called a semi prime ideal if for all x , y , z ∈ L , x ∧ y ∈ I and x ∧ z ∈ I imply x ∧ ( y ∨ z ) ∈ I ...for lattice L with 0, L is called 0-distributive ...
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On Semiprime n-Ideals in Lattices
... complemented lattice, ...A lattice L with 0 is called a 0-distributive lattice if for all a , b , c ∈ L with a ∧ b = 0 = a ∧ c imply a ∧ ( b ∨ c ) = 0 ...a lattice and n ∈ L ...
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Separation Axioms in Diframes
... The concept of ditopological texture spaces grew out of the study of the represen- tation of lattice-valued topologies by bitopologies. However, as distinct from the theory of bitopological spaces based on the ...
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Lattice rings: an interpretation of \(L\)-fuzzy rings as habitual algebraic structures
... the lattice L is distributive and finite, even though all of the obtained results could be extended to the case of an arbitrary complete distributive ...
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Some Properties of 0-Distributive and 1-Distributive Lattices
... a lattice L which is both 0 and 1- distributive, is complemented if and only if its prime ideals are ...0- distributive complemented 0- distributive lattice is 0-modular if and only if ...
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Representation of certain classes of distributive lattices by sections of sheaves
... that if L is a finite distributive lattice and prime ideals of L lle in disjoint maximal chains each with n-I elements, then L is a Post algebra of order.. Epstein and Horn [6] have show[r] ...
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Primality of L - Fuzzy Almost Ideals
... In our previous paper [14], the concept of L-Fuzzy Almost Ideal was introduced.So far L- Fuzzy Ideals have been studied in the case where L is a distributive lattice. L- Fuzzy Almost Ideal is a ...
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Generalization of Szpilrajn's Theorem on Intuitionistic Fuzzy Matrix
... [20] studied on intuitionistic fuzzy tautological matrices and also studied interval-valued IFMs [21]. Bhowmik and Pal [22,23] introduced some results on IFMs and intuitionistic circulant FMs and GIFMs. Khan and Pal [24] ...
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Vol 3, No 4 (2012)
... The lattice I (R) is distributive. In fact the lattice I(R) of ideals of a ring R is not distributive and has an obvious embedding in I ...the lattice (R) of all ideals of a ring R is ...
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The fixed set of a derivation in lattices
... a distributive lattice forms a distributive lattice under suitable binary ...a distributive lattice, a modular lat- tice and a relatively pseudo-complemented lattice, ...
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