The effect of electron irradiation with the energy 2.5 MeV on temperature dependences resistivity an optimally doped $YBa_2Cu_3O_{7-\delta}$ single crystal has been studied. both fluctuation conductivity $\sigma^\prime(T)$ and pseudogap $\Delta^*(T)$ dose $\phi$ have calculated within local pair model. Here we show that increase in $\phi$, value $\rho(300 K)$ increases linearly, while $T_c$ dec...

The notion of intuitinitic (T, S)-fuzzy submodule in Module is introduced, and related properties are investigated. Mathematics Subject Classification: 08A72, 13C99

in this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von neumann's regular rings. furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.

Five bacteriophages infecting only Saccharopolyspora erythraea (formerly Streptomyces erythreus) among 43 Streptomyces spp. tested were classified into two groups by phage-host relationships, restriction enzyme mapping, cohesive-end determinations, and Southern hybridizations. phi SE6, the most frequently isolated phage, produced clear plaques on all hosts tested, while phi SE45, phi SE57, phi ...

In this article, we formalize a free Z-module and its property. In particular, we formalize the vector space of rational field corresponding to a free Z-module and prove formally that submodules of a free Z-module are free. Z-module is necassary for lattice problems LLL (Lenstra, Lenstra and Lovász) base reduction algorithm and cryptographic systems with lattice [20]. Some theorems in this arti...

In this paper we characterize the radical of an arbitrary‎ ‎submodule $N$ of a finitely generated free module $F$ over a‎ ‎commutatitve ring $R$ with identity‎. ‎Also we study submodules of‎ ‎$F$ which satisfy the radical formula‎. ‎Finally we derive‎ ‎necessary and sufficient conditions for $R$ to be a‎ ‎Pr$ddot{mbox{u}}$fer domain‎, ‎in terms of the radical of a‎ ‎cyclic submodule in $Rbigopl...

s 1. Fisseha Abebe, Clark Atlanta University Distance Metric for Protein Partitions The composition of proteins in terms of amino-acid sequences within three protein theoretical families: serine, leucine, and valine, with respective sizes of 8, 7, and 5 amino acids, have been studied using combinatorial methods. All possible partitions are examined, and a metric is defined to measure the distan...