Results 41 to 50 of about 83 (69)
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π-Complemented Algebras Through Pseudocomplemented Lattices
Order, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Fernández Lopez
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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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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
Grätzer, G. +2 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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Congruence Lattices of Pseudocomplemented Semilattices
Semigroup Forum, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Radicals in pseudocomplemented lattices
Algebra Universalis, 1985In a pseudocomplemented lattice \((=PCL)\) L one can form terms \(p_ 0(x)=x\vee x^*\) and \(p_ n(x_ 1,...,x_ n)=(x_ 1\wedge...\wedge x_ n)^*\vee \vee ((x_ 1\wedge...\wedge x^*_ i\wedge...\wedge x_ n)^*\) (1\(\leq i\leq n)\). It is known that \(x\in L\) is dense (i.e. \(x^*=0)\) iff \(x=p_ 0(x)\).
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Implicational Classes of Pseudocomplemented Distributive Lattices
Journal of the London Mathematical Society, 1976A universal algebra \(\langle L;\cup,\cap,{}^*,0,1\rangle\) is called a distributive pseudocomplemented lattice (= \(p\)-algebra) if \(\langle L;\cup,\cap,0,1\rangle\) is a bounded distributive lattice such that \(x\cap a =0\) if and only if \(x\leq a^*\).
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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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