Abstract. Let R be a 2-torsion free ring with identity. In this paper, first we prove that any Jordan left derivation (hence, any left derivation) on the full matrix ringMn(R) (n 2) is identically zero, and any generalized left derivation on this ring is a right centralizer. Next, we show that if R is also a prime ring and n 1, then any Jordan left derivation on the ring Tn(R) of all n×n uppe...

T$o auditory lexical decieion experiments were conducted to determine whether facilitation can be obtained when a prime and a target share word-initial phonological informatiol. Subjects responded .,word,,' or "nonword" to monoeyllabic words and nonwords controlled-for freqttengy. -n-"Jfri*S"t wae preceded by the presentation of either a word or nonword prime that wae identi""t to ittJt""get br...

We begin by considering faithful matrix representations of elementary abelian groups in prime characteristic. The considered are seen to be determined up change bases a single number. Studying this number leads new family polynomials which exhibit special properties. These satisfy three term recursion and closely related zigzag zero-one sequences. Interpreting the for "prime" 1 yields classical...

We study the weak-coupling limit of $t-t^\prime-U$ Hubbard model on a two-dimensional square lattice using direct perturbative approach. Aided by symbolic computational tools, we compute longitudinal density-density correlation functions in $\chi_{\uparrow \uparrow}$ and \downarrow}$ basis from which can obtain dynamical spin charge susceptibilities at arbitrary doping temperature. find that fo...

We study certain properties of Noetherian rings with weak normality and seminormality in mixed characteristic. It is known that the two concepts can differ equal prime characteristic case, while they coincide by definition zero case. exhibit some examples also establish local Bertini theorem for under a condition.

In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.

In this paper, a novel architecture for a finite field integer multiplier based on a superset of the triple moduli set {2-1,2,2+1} is presented. The superset is constructed by adding extra moduli of the form 2±1 (for any non-zero integer n) to extend its range. The multiplier uses index transform approach whereby multiplication is carried out by index addition, and is organized into submodules ...

Given a connected graph G = ( V , E ) $G=(V,E)$ and length function ℓ : → R $\ell :E\to {\mathbb{R}}$ we let d v w ${d}_{v,w}$ denote the shortest distance between vertex $v$ $w$ . A t $t$ -spanner is subset ′ ⊆ $E^{\prime} \subseteq E$ such that if ${d}_{v,w}^{^{\prime} }$ denotes distances in subgraph $G^{\prime} =(V,E^{\prime} )$ then ≤ }\le t{d}_{v,w}$ for all ∈ $v,w\in V$ We study size of ...

In this paper, we introduce a new generalization of weakly prime ideals called $I$-prime. Suppose $R$ is a commutative ring with identity and $I$ a fixed ideal of $R$. A proper ideal $P$ of $R$ is $I$-prime if for $a, b in R$ with $ab in P-IP$ implies either $a in P$ or $b in P$. We give some characterizations of $I$-prime ideals and study some of its properties.  Moreover, we give conditions  ...

In this paper we give a recursive formula for the sequence of primes {pn} and apply it to find a necessary and sufficient condition in order that a prime number pn+1 is equal to pn+2. Applications of previous results are given to evaluate the probability that pn+1 is of the form pn + 2; moreover we prove that the limit of this probability is equal to zero as n goes to ∞. Finally, for every prim...