O jednom pěkném algebraickém výsledku
Ojective ideals in modular lattices
The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized relative injectivity) in the context of the lattice of ideals of a modular lattice is introduced. In a modular lattice satisfying a certain condition, a characterization is given for direct summands of an extending ideal to be mutually ojective. We define exchangeable decomposition and internal exchange property of an ideal in a modular lattice. It is...
On a characterization of the lattice of -ideals of an ordered set
On a characterization of the lattice of subsystems of a transition system.
On a construction of amalgamation I
On a Generalization of Permutable Equivalence Relations
On a paper by Iqbalunnisa
On a problem of Kertesz and Stern
On a problem of Pastijn and Petrich.
On a question of K. Leeb
On a Representation of Lattices by Congruence Relations
On a sum of observables in a logic
On a theorem of Cantor-Bernstein type for algebras
Freytes proved a theorem of Cantor-Bernstein type for algbras; he applied certain sequences of central elements of bounded lattices. The aim of the present paper is to extend the mentioned result to the case when the lattices under consideration need not be bounded; instead of sequences of central elements we deal with sequences of internal direct factors of lattices.
On a weak Freudenthal spectral theorem
Let be an Archimedean Riesz space and its Boolean algebra of all band projections, and put and , . is said to have Weak Freudenthal Property () provided that for every the lattice is order dense in the principal band . This notion is compared with strong and weak forms of Freudenthal spectral theorem in Archimedean Riesz spaces, studied by Veksler and Lavrič, respectively. is equivalent to -denseness of in for every , and every Riesz space with sufficiently many projections...
On algebraic closures of compact elements
On algebra-lattices
On Atomistic Algebraic Lattices with Covering Property
On atomistic lattices.
On atoms in lattices of primitive classes
On atoms in tolerance lattices of distributive lattices