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.

For any classical field configuration or mechanical system with a finite number of degrees of freedom we introduce the concept of topological spectrum. It is based upon the assumption that for any classical configuration there exists a principle fiber bundle that contains all the physical and geometric information of the configuration. The topological spectrum follows from the investigation of ...

we propose a scheme for localizing an atom in a four-level configuration inside a classical standing wave field, conditioned upon the measurement of frequency of a weak probe field. in the classical standing wave field, the interaction between the atom and the field is position dependent due to the rabi-frequency of the driving field. hence, as the absorption frequency of the probe field is mea...

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 a commutative ring with identity and $M$ be an$R$-module. Let $FSpec(M)$ denotes the collection of all prime fuzzysubmodules of $M$. In this regards some basic properties of Zariskitopology on $FSpec(M)$ are investigated. In particular, we provesome equivalent conditions for irreducible subsets of thistopological space and it is shown under certain conditions$FSpec(M)$ is a $T_0-$spa...