Results 51 to 60 of about 85 (73)
Some of the next articles are maybe not open access.
Congruence Lattices of Pseudocomplemented Semilattices
Semigroup Forum, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
π-Complemented Algebras Through Pseudocomplemented Lattices
Order, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juan Carlos Cabello +2 more
openaire +2 more sources
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 \(x=p_ 0(x)\).
openaire +2 more sources
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 \(x\leq a^*\).
openaire +2 more sources
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
openaire +2 more sources
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.
openaire +2 more sources
Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vechtomov, E. M., Petrov, A. A.
openaire +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vechtomov, E. M., Petrov, A. A.
openaire +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.
openaire +2 more sources
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.
openaire +1 more source