Results 11 to 20 of about 1,751 (259)
Stone Commutator Lattices and Baer Rings
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we transfer Davey‘s characterization for κ -Stone bounded distributive lattices to lattices with certain kinds of quotients, in particular to commutator lattices with certain properties, and obtain related results on prime, radical ...
Mureşan Claudia
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Categorical Dualities for Some Two Categories of Lattices: An Extended Abstract
Bulletin of the Section of Logic, 2022 The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) for the category of ...
Wiesław Dziobiak, Marina Schwidefsky
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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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ModHE: Modular Homomorphic Encryption Using Module Lattices
Transactions on Cryptographic Hardware and Embedded Systems, 2023 The promising field of homomorphic encryption enables functions to be evaluated on encrypted data and produce results for the same computations done on plaintexts.
Anisha Mukherjee +6 more
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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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A Note on the Modularization of Lattices [PDF]
Order, 2019 In the paper, a description of the modularization of finite lattices is given. The author shows that for an arbitrary finite lattice \(L\), there exists a modular lattice \(L_{M}\) such that the valuation polytope of \(L_{M}\) is linearly equivalent to the valuation polytope of \(L\).
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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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ON COMPLETE CONGRUENCE LATTICES OF COMPLETE MODULAR LATTICES [PDF]
International Journal of Algebra and Computation, 1991 The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In 1988, the second author announced the converse: every complete lattice L can be represented as the lattice of complete congruence relations of some complete lattice K.
Ralph Freese +2 more
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Modular Substructures in Pseudomodular Lattices.
MATHEMATICA SCANDINAVICA, 1994 Summary: Pseudomodular lattices have been used by the first author and \textit{L. Lovasz} [Combinatorica 7, 39-48 (1987; Zbl 0627.05016)] in order to investigate combinatorial properties of algebraic matroids and were further analyzed by \textit{A. Björner} and \textit{L. Lovasz} [Acta Sci. Math. 51, No. 3/4, 295-308 (1987; Zbl 0643.05023)].
Kern, W., DRESS, A., Hochstättler, W.
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Left-Modular Elements of Lattices
Journal of Combinatorial Theory, Series A, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu-Chung Liu, Bruce E. Sagan
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