Results 11 to 20 of about 1,631 (263)
Direct summands of Goldie extending elements in modular lattices [PDF]
Mathematica Bohemica, 2022 In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element $a$ of a lattice $L$ with $0$ is said to be a Goldie extending element if and only if for every $b \leq a$ there exists a direct ...
Rupal Shroff
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Pasting and modular lattices [PDF]
Proceedings of the American Mathematical Society, 1989 A classical lattice construction of R. P. Dilworth is the gluing of two lattices. A number of recent papers by A. Slavík, A. Day, and J. Ježek investigated a generalization: pasting. In this note we prove that by pasting two finite modular lattices, one obtains a modular lattice.
Fried, E., Grätzer, G.
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Cofinitely Supplemented Modular Lattices [PDF]
Arabian Journal for Science and Engineering, 2011 In this paper it is shown that a lattice L is a cofinitely supplemented lattice if and only if every maximal element of L has a supplement in L. If a/0 is a cofinitely supplemented sublattice and 1/a has no maximal element, then L is cofinitely supplemented.
Alizade, R., Toksoy, S.E.
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Cofinitely (Weak) G-Supplemented Lattices
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2022 In this work, cofinitely (weak) g-supplemented lattices are defined and some properties of these lattices are investigated. It is shown that quotient sublattices of cofinitely (weak) g-supplemented lattices are cofinitely (weak) g-supplemented.
Sultan Eylem Toksoy
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Modularity in topological lattices [PDF]
Proceedings of the American Mathematical Society, 1969 The purpose of this note is to establish that for topological lattices of suitably small breadth, connectedness implies modularity without an exploitation of compactness. L will denote a topological lattice, that is a Hausdorff topological space with continuous binary operations V and A for which (L, V, A) is a lattice. For a more explicit presentation
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FINITE NILSEMIGROUPS WITH MODULAR CONGRUENCE LATTICES
Ural Mathematical Journal, 2017 This paper continues the joint work [2] of the author with P. Jones. We describe all finitely generated nilsemigroups with modular congruence lattices: there are 91 countable series of such semigroups.
Alexander L. Popovich
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Nanomaterials, 2020 A bistable response is an innate feature of tensegrity metamaterials, which is a conundrum to attain in other metamaterials, since it ushers unconventional static and dynamical mechanical behaviors.
Zacharias Vangelatos +3 more
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The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups
The Scientific World Journal, 2014 The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups.
Shoufeng Wang
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S-extremal strongly modular lattices [PDF]
Journal de théorie des nombres de Bordeaux, 2010 S-extremal strongly modular lattices maximize the minimum of the lattice and its shadow simultaneously. They are a direct generalization of the s-extremal unimodular lattices defined in [6]. If the minimum of the lattice is even, then the dimension of an s-extremal lattices can be bounded by the theory of modular forms.
Nebe, Gabriele, Schindelar, Kristina
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Amply essential supplemented lattices
Miskolc Mathematical NotesIn this work, amply essential supplemented (briefly, amply e-supplemented) lattices are defined and some properties of these lattices are investigated. All lattices are complete modular lattices with the greatest element 10Lb∕0b∈LLLbaLb⊴Lb∕0x∕0xLLLa∧bb ...
Figen Eryılmaz +2 more
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