Recently, I. Stubbe constructed an isomorphism between the categories of right Q-modules and cocomplete skeletal Q-categories for a given unital quantale Q. Employing his results, we obtain an isomorphism between the categories of Q-algebras and Q-quantales, where Q is additionally assumed to be commutative. As a consequence, we provide a common framework for two concepts of lattice-valued fram...

Whereas pseudovarieties of commutative semigroups are known to be nitely based, the globals of monoidal pseudovarieties of commutative semi-groups are shown to be nitely based (or of nite vertex rank) if and only if the index is 0, 1 or !. Nevertheless, on these pseudovarieties, the operation of taking the global preserves decidability. Furthermore, the gaps between many of these globals are sh...

Many governments seek the private sector to meet their development goals. One possible means enlist this support is impose mandatory or “hard” corporate social responsibility (CSR) requirements on large companies. To shed light how CSR could be helpful in regard, we study case of India, where government has required companies spend a fraction income toward as since 2014. We analyzed expenses le...

double system of exponents with complex-valued coefficients is considered. under some conditions on the coefficients, we prove that if this system forms a basis for the morrey-lebesgue type space on $left[-pi , pi right]$, then it is isomorphic to the classical system of exponents in this space.

This article studies preservation of certain algebraic properties of propositional logics when combined by fibring. The logics analyzed here are classified in protoalgebraic, equivalential and algebraizable. By introducing new categories of algebrizable logics and of deductivizable quasi-varieties, it is stated an isomorphism between these categories. This constitutes an alternative to a simila...