Results 71 to 80 of about 203 (97)

π-Complemented Algebras Through Pseudocomplemented Lattices

Order, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Fernández Lopez
exaly   +3 more sources

ON SOME LOCALLY PSEUDOCOMPLEMENTED DISTRIBUTIVE LATTICES

Demonstratio Mathematica, 1980
exaly   +3 more sources

Pseudocomplements and strong pseudocomplements in lattices of module classes

Journal of Algebra and Its Applications, 2018
In 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, Cejudo-Castilla, César, Rincón-Mejía, Hugo Alberto, Vilchis-Montalvo, Ivan Fernando   +3 more
openaire   +2 more sources

Induced Orthogonality in Semilattices with 0 and in Pseudocomplemented Lattices and Posets

Order
On an arbitrary meet-semilattice S = (S, ∧, 0) with 0 we define an orthogonality relation and investigate the lattice Cl(S) of all subsets of S closed under this orthogonality.
Ivan Chajda, Miroslav Kolarik, Helmut Langer   +2 more
exaly   +4 more sources

On pseudocomplements and supplements in the big lattice of preradicals

Journal of Algebra and Its Applications, 2014
In 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, Sandoval-Miranda, Martha Lizbeth Shaid   +1 more
openaire   +1 more source

The spectrum of a finite pseudocomplemented lattice

Algebra universalis, 2009
Let \(L\) 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., Gunderson, D. S., Quackenbush, R. W.   +2 more
openaire   +2 more sources

Congruence Lattices of Pseudocomplemented Semilattices

Semigroup Forum, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

ON n-MIXED PRODÜCT OF PSEUDOCOMPLEMENTED DISTRIBUTIVE LATTICES

Demonstratio Mathematica, 1986
The author defines for a finite family of pseudocomplemented distributive lattices what she calls a mixed product. She then considers the variety generated by all such mixed products, and obtains a finite base for this variety.
exaly   +2 more sources

Radicals in pseudocomplemented lattices

Algebra Universalis, 1985
In 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, 1976
A 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