Results 11 to 20 of about 6,544 (263)
On Goldie absolute direct summands in modular lattices [PDF]
Mathematica Bohemica, 2023 Absolute direct summand in lattices is defined and some of its properties in modular lattices are studied. It is shown that in a certain class of modular lattices, the direct sum of two elements has absolute direct summand if and only if the elements are
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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Generalizations of supplemented lattices
AKCE International Journal of Graphs and Combinatorics, 2019 Some generalizations of the concept of a supplemented lattice, namely a soc-supplemented-lattice, soc-amply-supplemented-lattice, soc-weak-supplemented-lattice, soc-⊕-supplemented-lattice and completely soc-⊕-supplemented-lattice are introduced.
Shriram K. Nimbhorkar +1 more
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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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Self-Reconfiguration Sequence of Lattice Modular Soft Robots
Shanghai Jiaotong Daxue xuebao, 2021 A lattice self-reconfigurable modular soft robot based on the expansion-contraction motion rule is designed, which is composed of several soft modules, each of which is composed of a silica gel main body with positive hexahedron configuration and a ...
LIU Jiapeng +3 more
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Orthogonality and complementation in the lattice of subspaces of a finite vector space [PDF]
Mathematica Bohemica, 2022 We investigate the lattice $ L( V)$ of subspaces of an $m$-dimensional vector space $ V$ over a finite field ${\rm GF}(q)$ with a prime power $q=p^n$ together with the unary operation of orthogonality.
Ivan Chajda, Helmut Länger
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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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Duality web on a 3D Euclidean lattice and manifestation of hidden symmetries
Journal of High Energy Physics, 2019 We generalize our previous lattice construction of the abelian bosonization duality in 2 + 1 dimensions to the entire web of dualities as well as the N f = 2 self-duality, via the lattice implementation of a set of modular transformations in the theory ...
Jun Ho Son, Jing-Yuan Chen, S. Raghu
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Goldie extending elements in modular lattices [PDF]
Mathematica Bohemica, 2017 The concept of a Goldie extending module is generalized to a Goldie extending element in a 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 summand $c$ of
Shriram K. Nimbhorkar, Rupal C. Shroff
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On some classes of sublattices of the subgroup lattice
Журнал Белорусского государственного университета: Математика, информатика, 2019 In this paper G always denotes a group. If K and H are subgroups of G, where K is a normal subgroup of H, then the factor group of H by K is called a section of G.
Alexander N. Skiba
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