Results 81 to 90 of about 203 (97)
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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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The Lattices of Kernel Ideals in Pseudocomplemented De Morgan Algebras
Order, 2016A pseudocomplemented De Morgan algebra is a bounded distributive lattice \(L\) endowed with two unary operations, \(\circ\) and \(\ast\), such that \((L,\circ)\) is a De Morgan algebras and \((L,\ast)\) a distributive p-algebra. Pseudocomplemented De Morgan algebras form an equational class \textbf{pdM}. A kernel ideal \(I\) of \(L\) in \textbf{pdM} is
Xue-Ping Wang 0001, Lei-Bo Wang
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On varieties defined by pseudocomplemented nondistributive lattices
Publicationes Mathematicae Debrecen, 2003A lattice \(L\) with \(1\) is called sectionally complemented if every interval \([a,1]\) is pseudocomplemented. On such lattices, a new operation \(\circ\) is introduced by the rule that \(x\circ y\) is the pseudocomplement of \(x\vee y\) in \([y,1]\). It is known that the resulting algebras form a variety. In the present paper the authors investigate
Chajda, I., Radeleczki, S.
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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, Lei-Bo Wang, Ting Yang
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The spectrum of a finite pseudocomplemented modular lattice
Algebra universalis, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji, Wei, Xin, Xiao Long
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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.
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Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vechtomov, E. M., Petrov, A. A.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vechtomov, E. M., Petrov, A. A.
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EXTERNALLY COMPATIBLE IDENTITIES IN PSEUDOCOMPLEMENTED DISTRIBUTIVE LATTICES
Demonstratio Mathematica, 1987 exaly +2 more sources
Demi-pseudocomplemented lattices: principal congruences and subdirect irreducibility
Algebra Universalis, 1990In this (essentially self-contained) paper the author continues his earlier investigations on demi-p-lattices [J. Symb. Logic 52, 712-724 (1987; Zbl 0628.06011)]. In Section 2, definitions and some new characterizations of demi-p-lattices, almost p-lattices and p-lattices are presented.
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On the Decision Problem of the Congruence Lattices of Pseudocomplemented Semilattices( )
1977Publisher Summary This chapter focuses on the decision problem of the congruence lattices of pseudocomplemented semilattices. The essential undecidability of the theories of closure algebras, Brouwerian algebras, the algebras of bodies, the algebras of convexity, and the semi-projective algebra are discussed in the chapter.
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