Results 41 to 50 of about 85 (73)
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The spectrum of a finite pseudocomplemented lattice
Algebra Universalis, 2009Let \(L\) be a pseudocomplemented lattice, then every interval \([0,a]\) of \(L\) is also pseudocomplemented. So, by Glivenko's theorem, the set \(S(a)\) of all pseudocomplements in \([0,a]\) forms a Boolean lattice. Let \(L\) be a finite pseudocomplemented lattice and suppose that \(S(1)\) has exactly \(n\) atoms. Let \(B_i\) denote the finite Boolean
George Gratzer, Gratzer G
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Characterizations of pseudocomplemented lattices by excluded 0-sublattices
Algebra Universalis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue-Ping Wang, Wang Xue-Ping
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Pseudocomplemented lattice effect algebras and existence of states
Information Sciences, 2009The author studies pseudocomplemented lattice effect algebras. In particular, it is shown that the set of sharp elements in a pseudocomplemented lattice effect algebra forms a Boolean algebra (with the inherited pseudocomplementation as an orthocomplementation) and that every pseudocomplemented complete atomic lattice effect algebra admits a state.
Zdenka Riečanová
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The spectrum of a finite pseudocomplemented modular lattice
Algebra Universalis, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Ji, Xin Xiao Long
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The Lattice of Kernel Ideals of a Balanced Pseudocomplemented Ockham Algebra
Studia Logica, 2012In this note we shall show that if L is a balanced pseudocomplemented Ockham algebra then the set $${\fancyscript{I}_{k}(L)}$$ of kernel ideals of L is a Heyting lattice that is isomorphic to the lattice of congruences on B(L) where $${B(L) = \{x^* | x \in L\}}$$ .
Jie Fang
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Inversion of matrices over a pseudocomplemented lattice
Journal of Mathematical Sciences, 2007We compute the greatest solutions of systems of linear equations over a lattice (P, ≤). We also present some applications of the results obtained to lattice matrix theory. Let (P, ≤) be a pseudocomplemented lattice with $$\widetilde0$$ and
E. E. Marenich, V. G. Kumarov
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Pseudocomplements and strong pseudocomplements in lattices of module classes
Journal of Algebra and Its Applications, 2018In this work, we consider the existence and construction of pseudocomplements in some lattices of module classes. The classes of modules belonging to these lattices are defined via closure under operations such as taking submodules, quotients, extensions, injective hulls, direct sums or products.
Alvarado-García, Alejandro +3 more
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On pseudocomplements and supplements in the big lattice of preradicals
Journal of Algebra and Its Applications, 2014In this paper, we consider aspects of the big lattice of preradicals, related to pseudocomplements and supplements. We consider essential preradicals and superfluous preradicals, and we characterize the situation in which all nonzero preradicals are essential as well as the one in which all proper preradicals are superfluous.
Rincón-Mejía, Hugo Alberto +1 more
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Which Concept Lattices Are Pseudocomplemented?
2005We give a contextual characterization of pseudocomplementation by means of the arrow relations.
Bernhard Ganter, Léonard Kwuida
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Varieties of Demi‐Pseudocomplemented Lattices
Mathematical Logic Quarterly, 1991The authors present a solution to the problem of desribing the structure of the lattice of subvarieties of the variety of demi \(p\)-lattices, and in particular of almost \(p\)-lattices. The main purpose is to present an infinite poset \(P_ 0\) whose Hasse diagram is completely described by the following property: The lattice of subvarieties of the ...
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