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Sufficient conditions for the finiteness of the 3-generated lattice with modular and distributive type elements among generators
We investigate the finiteness and the infiniteness of the free 3-generated lattice with modular and distributive type elements among generators. For...
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On the Embedding of the Free Lattice of Rank 3 in the Lattice Freely Generated by Three Distributive Type Elements
We prove the lattice freely generated by three distributive elements and the lattice freely generated by two distributive elements and one dually...
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Pointed Lattice Subreducts of Varieties of Residuated Lattices
We study the pointed lattice subreducts of varieties of residuated lattices (RLs) and commutative residuated lattices (CRLs), i.e. lattice subreducts...
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Injective Hulls in the Category of Mildly Distributive Semilattices
The main purpose of this paper is to study the injectivity in the category of mildly distributive semilattices, which will generalize the related...
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Lattice Theory
The first symbols are very much used, when the elements are sets, but they are different to read, easy to confuse and lack standard verbal...
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The lattice of varieties of monoids
We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number...
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On the Distributivity and Modularity Properties of the Lattice of Fitting Classes
AbstractIt is proved that the lattice of all Fitting classes of finite groups is not distributive, and conditions under which Fitting classes...
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Lattice Path Matroids and Quotients
We characterize the quotients among lattice path matroids (LPMs) in terms of their diagrams. This characterization allows us to show that ordering...
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Every complete atomic Boolean algebra is the ideal lattice of a cBCK-algebra
Given a complete atomic Boolean algebra, we show there is a commutative BCK-algebra whose ideal lattice is that Boolean algebra. This result is shown...
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Ideals, bands and direct sum decompositions in mixed lattice vector spaces
A mixed lattice vector space is a partially ordered vector space with two partial orderings and certain lattice-type properties. In this paper we...
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Lattice Structures for Attractors III
The theory of bounded, distributive lattices provides the appropriate language for describing directionality and asymptotics in dynamical systems....
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Duality for normal lattice expansions and sorted residuated frames with relations
We revisit the problem of Stone duality for lattices with quasioperators, presenting a fresh duality result. The new result is an improvement over...
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Priestley-style duality for DN-algebras
The aim of this article is to develop a Priestley-style duality for the variety of DN-algebras. In order to achieve this, we use the concept of free...
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Lattice structures in ternary semigroup of map**s
In this paper we present a construction for partial order in T [ X , Y ] which is called the ternary semigroup of map**s, derived from the partial...
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Cancellable elements of the lattice of monoid varieties
The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to be countably infinite. But the description of...
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On the lattice of conatural classes of linear modular lattices
The collection of all cohereditary classes of modules over a ring R is a pseudocomplemented complete big lattice. The elements of its skeleton are...
