Introduction de quelques formes générales des fonctions pseudo-booléennes.
Inverse topology in MV-algebras
We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra and show that the set of all minimal prime ideals of , namely , with the inverse topology is a compact space, Hausdorff, -space and -space. Furthermore, we prove that the spectral topology on is a zero-dimensional Hausdorff topology and show that the spectral topology on is finer than the inverse topology on . Finally, by open sets of the inverse topology, we define and study a congruence relation...
Invertible ideals and Gaussian semirings
In the first section, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain. In section two, we define Prüfer semirings and characterize them in terms of valuation semirings. In this section, we also characterize Prüfer semirings in terms of some identities over its ideals such as for all ideals , of . In the third section, we give a semiring version for the Gilmer-Tsang Theorem, which states that for a suitable family...
Isometries and direct decompositions of pseudo MV-algebras
Isometries of generalized -algebras
In this paper we investigate the relations between isometries and direct product decompositions of generalized -algebras.
Isometries of -algebras
Isometries of multilattice groups