A remark on growth relation.
A remark on lattice-ordered semigroups.
A remark on radical-semisimple classes of fully ordered groups
A remark on semigroups that are semilattices of right groups
A remark on signed posets and signed graphs
A Remark on Subsets of Free Boolean Algebras
A remark on the extension of the concept of incidence algebras to nonlocally finite partially ordered sets.
A remark on the spectra of rings with Gabriel dimension
A remark on -regular orthomodular lattices
A finite orthomodular lattice in which every maximal Boolean subalgebra (block) has the same cardinality is called -regular, if each atom is a member of just blocks. We estimate the minimal number of blocks of -regular orthomodular lattices to be lower than of equal to regardless of .
A remark to the paper of M. Froda-Schechter: Préordres et équivalences dans l'ensemble des familles d'un ensemble
A representation of bounded commutative BCK-algebras.
A representation of orthomodular lattices
A representation of relatively complemented distributive lattices
A representation theorem for CAC lattices.
A representation theorem for certain Boolean lattices.
Let R be an associative ring with 1 and R-tors the somplete Brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic Boolean lattice. In this note we prove that if L is a complete atomic Boolean lattice then there exists a left semiartinian ring R such that L is lattice-isomorphic to R-tors.
A representation theorem for linearly ordered cardinal algebras
A representation theorem for tense -valued Łukasiewicz-Moisil algebras
In 2000, Figallo and Sanza introduced -valued Łukasiewicz-Moisil algebras which are both particular cases of matrix Łukasiewicz algebras and a generalization of -valued Łukasiewicz-Moisil algebras. Here we initiate an investigation into the class tLM of tense -valued Łukasiewicz-Moisil algebras (or tense LM-algebras), namely -valued Łukasiewicz-Moisil algebras endowed with two unary operations called tense operators. These algebras constitute a generalization of tense Łukasiewicz-Moisil algebras...
A result forO2-convergence to be topological in posets
In this paper, the α waybelow relation, which is determined by O2-convergence, is characterized by the order on a poset, and a sufficient and necessary condition for O2-convergence to be topological is obtained.
A rigid Boolean algebra that admits the elimination of Q21
Using ♢ , we construct a rigid atomless Boolean algebra that has no uncountable antichain and that admits the elimination of the Malitz quantifier .
A sandwich theorem for monotone additive functions.