In this document we consider the prime spectrum of an MV-algebra with certain natural operations. These are used to show connections between the classes of prime lattice filters and prime implication filters.

The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. The sets of provable formulas in corresponding inference systems from the point of view of uncertain information can be described by fuzzy filters of those algebraic semantics. Bounded residuated lattice ordered monoids (R`-monoids) are a common generalization of pseudo ...

In this paper, the idea of fuzzy Fuzzy α-Ψ*-Convergence Spaces-filters on Spaces-open sets and Spaces-convergence spaces are presented. Typically, description minimal prime in a topological space is explored. Likewise, ideas Spaces-regular convergence weakly initiated few their captivating properties examined.

We characterize ring spectra morphisms from the algebraic cobordism spectrum MGL ([12]) to an oriented spectrum E (in the sense of Morel [4]) via formal group laws on the ”topological” subring E∗ = ⊕iE 2i,i of E∗∗. This result is then used to construct for any prime p a motivic Quillen idempotent on MGL(p). This defines the BP -spectrum associated to the prime p as in Quillen’s [6] for the comp...

Let $R$ be an associative ring and let $M$ be a left $R$-module.Let $Spec_{R}(M)$ be the collection of all prime submodules of $M$ (equipped with classical Zariski topology). There is a conjecture which says that every irreducible closed subset of $Spec_{R}(M)$ has a generic point. In this article we give an affirmative answer to this conjecture and show that if $M$ has a Noetherian spectrum, t...

In this paper, the concept of (∈,∈ ∨ qk)-fuzzy quasi-ideals of an ordered semigroup S is introduced by the ordered fuzzy points of S, which is a generalization of fuzzy quasi-ideal of S, and related properties are investigated. Furthermore, we introduce the concepts of prime and completely semiprime (∈,∈ ∨ qk)-fuzzy quasi-ideals of ordered semigroups, and characterize bi-regular ordered semigro...