We introduce the notion of quasi-inner function and show that product u = ρ ∞ ∏ v m + 1 ratios local L -factors ( z ) γ / − over a finite set F places Q inclusive archimedean place is on left critical line ℜ 2 in following sense. The off diagonal part 21 matrix multiplication by orthogonal decomposition Hilbert space square integrable functions into Hardy H its complement compact operator. When...

In this paper, we study the relation between uniform Roe algebra and quasi-local associated to a metric space of bounded geometry. process, introduce weakening notion expanders, called asymptotic expanders. We show that being sequence expanders is coarse property under certain connectedness condition, it implies non-uniformly local amenability. Moreover, also analyse some $C^*$-algebraic proper...

In this paper, we define the new notion of quasi-prime ideal which generalizes at once both prime ideal and primary ideal notions. Then a natural topology on the set of quasi-prime ideals of a ring is introduced which admits the Zariski topology as a subspace topology. The basic properties of the quasi-prime spectrum are studied and several interesting results are obtained. Specially, it is pro...

A token ring is an arrangement of n processors that take turns engaging in an activity which must be controlled. A token confers the right to engage in the controlled activity. Processors communicate with neighbors in the ring to obtain and release a token. The communication mechanism investigated in this paper is the safe register abstraction, which may arbitrarily corrupt a value that a proce...

A quasi-measure is a non-subadditive measure defined on only open or closed subsets of a compact Hausdorf space. We investigate the nature of irreducible partitions as defined by Aarnes and use the results to construct quasi-measures when g(X) = 1. The cohomology ring is an important tool for this investigation.

Quasi cyclic codes over a finite field are viewed as cyclic codes over a non commutative ring of matrices over a finite field. This point of view permits to generalize some known results about linear recurring sequences and to propose a new construction of some quasi cyclic codes and self dual codes.

Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then there exists an ideal a of R such that AttR Hna (M)=T. As an application, we give some relationships between top local cohomology modules and top f...

There is a local ring I of order 4, without identity for the multiplication, defined by generators and relations as $$\begin{aligned} I=\langle a,b \mid 2a=2b=0,\, a^{2}=b,\, \,ab=0 \rangle . \end{aligned}$$ We give natural map between linear codes over additive $${\mathbb{F}}_{4},$$ that allows efficient computations. study algebraic structure this non-unital ring, their generator parity-check...

Nowadays, tube bonding in vehicles structure is noticeably considered by many researches. In this paper, local tube compression process by a rubber ring has been studied. Firstly, simulation of the process was performed by FEM. Then, experimental test has been carried out to validate the numerical results. Numerical and experimental results were compared showing a good agreement. In the second ...