A note on nuclei of quantale modules
A note on pseudocongruences in semigroups.
A note on semi-pseudoorders in semigroups.
A note on tensor products on the unit interval
A note on the p-distributivity in non-Archimedean f-rings.
Non-Archimedean f-rings need not be p-distributive. Moreover, if {di|i} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a vi di and vi adi need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.
A note on the prime ideal theorem
A note on topology compatible with the ordering
A principal topology obtained from uninorms
We obtain a principal topology and some related results. We also give some hints of possible applications. Some mathematical systems are both lattice and topological space. We show that a topology defined on the any bounded lattice is definable in terms of uninorms. Also, we see that these topologies satisfy the condition of the principal topology. These topologies can not be metrizable except for the discrete metric case. We show an equivalence relation on the class of uninorms on a bounded lattice...
A realization of -groups
A remark on a paper of H. Höft
A remark on lattice-ordered semigroups.
A remark on radical-semisimple classes of fully ordered groups
A representation of bounded commutative BCK-algebras.
A representation theorem for linearly ordered cardinal algebras
A sandwich theorem for monotone additive functions.
A simple proof of Vinogradov’s theorem on the orderability of the free product of -groups
A simplified proof of the Daniell integral extension theorem in ordered spaces
A strongly diagonal power of algebraic order bounded disjointness preserving operators.
A structure theorem for right invariant right holoids.
A Theorem on Anti-ordered Factor-semigroups