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Discrete Mathematics, ISSN 0012-365X, 2008, Volume 308, Issue 21, pp. 4906 - 4913
By a nearlattice is meant a join-semilattice where every principal filter is a lattice with respect to the induced order. Alternatively, a nearlattice can be... 
Nearlattice | Distributive lattice | Section pseudocomplementation | Semilattice | Congruence distributive variety | MATHEMATICS | congruence distributive variety | distributive lattice | section pseudocomplementation | nearlattice | semilattice | Algebra
Journal Article
Soft Computing, ISSN 1432-7643, 5/2018, Volume 22, Issue 9, pp. 2797 - 2807
Journal Article
Archive for Mathematical Logic, ISSN 0933-5846, 2/2019, Volume 58, Issue 1, pp. 219 - 243
We define when a ternary term m of an algebraic language $$\mathcal {L}$$ L is called a distributive nearlattice term ( $$\mathrm {DN}$$ DN -term) of a... 
06A12 | Selfextensional logic | Algebra | 03B22 | 03G27 | Mathematics, general | Mathematics | Abstract algebraic logic | 03G25 | Mathematical Logic and Foundations | Distributive nearlattice | Logics based on partial orders | MATHEMATICS | LOGIC | Logic | Lattices (mathematics)
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 02/2019, Volume 69, Issue 1, pp. 35 - 52
The aim of this paper is to study the class of distributive nearlattices with a necessity modal operator. We develop a full duality to the category of... 
Primary 06A12 | 06D50 | topological representation | modal operator | 06D35 | distributive nearlattice | duality | Secondary 03G10 | MATHEMATICS | QUANTIFIERS | Infimum
Journal Article
Mathematica Bohemica, ISSN 0862-7959, 10/2019, Volume 144, Issue 3, pp. 241 - 250
In this short paper we introduce the notion of $\alpha$-filter in the class of distributive nearlattices and we prove that the $\alpha$-filters of a normal... 
distributive nearlattice | annihilator | alpha$-filter
Journal Article
Mathematica Bohemica, ISSN 0862-7959, 2018, Volume 143, Issue 4, pp. 391 - 407
In this note we give some new characterizations of distributivity of a nearlattice and we study annihilator-preserving congruence relations. 
Congruence | Filter | Ideal | Annihilator | Distributive nearlattice | filter | ideal | distributive nearlattice | congruence | annihilator
Journal Article
Algebra universalis, ISSN 0002-5240, 4/2014, Volume 71, Issue 2, pp. 127 - 153
The aim of this paper is to study the variety of distributive nearlattices with greatest element. We will define the class of N-spaces as sober-like... 
Secondary: 03G10 | Algebra | 06D50 | distributive nearlattices | Stone spaces | Primary: 06A12 | topological representation | Mathematics | prime ideal | MATHEMATICS
Journal Article
Miskolc Mathematical Notes, ISSN 1787-2405, 2015, Volume 16, Issue 1, pp. 65 - 78
Journal Article
MISKOLC MATHEMATICAL NOTES, ISSN 1787-2405, 2015, Volume 16, Issue 1, pp. 65 - 78
In this note we propose a definition of relative annihilator in distributive nearlattices with greatest element different from that given in [ 6] and we... 
MATHEMATICS | semi-homomorphism | LATTICES | distributive nearlattice | relative annihilator | prime ideal
Journal Article
Reports on Mathematical Logic, ISSN 0137-2904, 2016, Volume 51, Issue 51, pp. 57 - 73
In this paper we will introduce N-Vietoris families and prove that homomorphic images of distributive nearlattices are dually characterized by N-Vietoris... 
Logic | Philosophy | Prime ideal | Homomorphic image | Distributive nearlattice | MATHEMATICS | homomorphic image | LOGIC | prime ideal | Algebra | Topology
Journal Article
Algebra universalis, ISSN 0002-5240, 12/2018, Volume 79, Issue 4, pp. 1 - 11
A near-Heyting algebra is a join-semilattice with a top element such that every principal upset is a Heyting algebra. We establish a one-to-one correspondence... 
08B26 | 06A12 | 06D20 | Algebra | Congruences | 06B10 | Mathematics | Near-Heyting algebra | Distributive nearlattice | Principal congruences | MATHEMATICS | DUALITY | DISTRIBUTIVE NEARLATTICES
Journal Article
Kyungpook Mathematical Journal, ISSN 1225-6951, 12/2012, Volume 52, Issue 4, pp. 483 - 494
Journal Article
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