Minimal prime ideals in autometrized algebras
Minimal prime subgroups of lattice-ordered groups
Minimal varieties of -groups.
Mixed product decompositions of a directed group
Modal operators on bounded commutative residuated -monoids
Modal operators on bounded residuated -monoids
Bounded residuated lattice ordered monoids (-monoids) form a class of algebras which contains the class of Heyting algebras, i.e. algebras of the propositional intuitionistic logic, as well as the classes of algebras of important propositional fuzzy logics such as pseudo -algebras (or, equivalently, -algebras) and pseudo -algebras (and so, particularly, -algebras and -algebras). Modal operators on Heyting algebras were studied by Macnab (1981), on -algebras were studied by Harlenderová and...
Modal operators on MV-algebras
Modal operators on Heyting algebras were introduced by Macnab. In this paper we introduce analogously modal operators on MV-algebras and study their properties. Moreover, modal operators on certain derived structures are investigated.
Model-completeness for sheaves of structures
Models combination in (max,+) algebra for the implementation of a simulation and analysis software
This paper presents a modeling methodology in (max,+) algebra which has been developed in order to implement a modulary software for the simulation and the analysis of electronic cards production lines. More generally, this approach may be applied to hybrid flowshop type manufacturing systems.
Modular atomic effect algebras and the existence of subadditive states
Lattice effect algebras generalize orthomodular lattices and -algebras. We describe all complete modular atomic effect algebras. This allows us to prove the existence of ordercontinuous subadditive states (probabilities) on them. For the separable noncomplete ones we show that the existence of a faithful probability is equivalent to the condition that their MacNeille complete modular effect algebra.
Modules ordonnés injectifs
Monadic involutive pseudo-BCK algebras.
Monoides et semi-anneaux continus.
Monotone functions on symmetric spaces.
Monotone modal operators on bounded integral residuated lattices
Bounded integral residuated lattices form a large class of algebras containing some classes of commutative and noncommutative algebras behind many-valued and fuzzy logics. In the paper, monotone modal operators (special cases of closure operators) are introduced and studied.
Monotone σ-complete groups with unbounded refinement
The real line ℝ may be characterized as the unique non-atomic directed partially ordered abelian group which is monotone σ-complete (countable increasing bounded sequences have suprema), has the countable refinement property (countable sums of positive (possibly infinite) elements have common refinements) and is linearly ordered. We prove here that the latter condition is not redundant, thus solving an old problem by A. Tarski, by proving that there are many spaces (in particular, of arbitrarily...
Monotonic mappings on ordered sets, a class of inequalities with finite differences and fixed points.
Multiplicative structures over sup-lattices
MV-algebras are categorically equivalent to a class of -semigroups
In the paper it is proved that the category of -algebras is equivalent to the category of bounded -semigroups satisfying the identity . Consequently, by a result of D. Mundici, both categories are equivalent to the category of bounded commutative -algebras.
Naturally Orderd Transformation Semigroups.