Results 91 to 100 of about 15,586 (289)
Congruence lattices of free lattices in non-distributive varieties
, 2005 We prove that for any free lattice F with at least $\aleph\_2$ generators in any non-distributive variety of lattices, there exists no sectionally complemented lattice L with congruence lattice isomorphic to the one of F.
Ploscica, Miroslav +2 more
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Orthopseudorings and congruences on distributive lattice with dual weak complementation. [PDF]
Heliyon, 2023 Rezk EG.
europepmc +1 more source
A decomposition of distributive lattices
Discrete Mathematics, 1985 The author works out the concept of a split decomposition of a distributive lattice fitting into the general decomposition theory of Cunningham and Edmonds. He clarifies the amount of uniqueness valid for repeated decompositions, the structure of the building stones, and the reconstruction process.
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Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley +1 more source
Representation of certain classes of distributive lattices by sections of sheaves
International Journal of Mathematics and Mathematical Sciences, 1980 Epstein and Horn ([6]) proved that a Post algebra is always a P-algebra and in a P-algebra, prime ideals lie in disjoint maximal chains. In this paper it is shown that a P-algebra L is a Post algebra of order n≥2, if the prime ideals of L lie in disjoint
U. Maddana Swamy, P. Manikyamba
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A uniform refinement property for congruence lattices
, 2005 The Congruence Lattice Problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of a lattice. It was hoped that a positive solution would follow from E. T. Schmidt's construction or from the approach of P. Pudlak,
Wehrung, Friedrich
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Algorithm for lattice model analyzing of information-measuring system structure
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 A lattice model of the structures of developing information-measuring systems is considered. It is shown that this model allows studying the transformation of structures of information-measuring system during the life cycle.
Sergey P Orlov
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Journal of New Results in Science, 2012 Soft set theory was introduced by Molodtsov in 1999 as a general mathematical tool for dealing with problems that contain uncertainity. In this paper,we define concept of a soft lattice, soft sublattice, complete soft lattice, modular soft lattice ...
Faruk Karaaslan +2 more
doaj
Belief Functions on Distributive Lattices
Proceedings of the AAAI Conference on Artificial Intelligence, 2013 The Dempster-Shafer theory of belief functions is an important approach to deal with uncertainty in AI.In the theory, belief functions are defined on Boolean algebras of events. In many applications of belief functions in real world problems, however, the objects that we manipulateis no more a Boolean algebra but a distributive ...
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