In this paper we study graded Bourbaki ideals. It is a well-known fact that for torsionfree modules over Noetherian normal domains, sequences exist. We give criteria in terms of certain attached matrices homomorphism to induce sequence. Special attention given sequences. the second part paper, apply these results Koszul cycles residue class field and determine particular ideals explicitly. also...

1648 www.thelancet.com Vol 371 May 17, 2008 Pharmaceutical Management Agency (PHARMAC), Wellington 6143, New Zealand (SM, JE, SC); Department of Medicine, University of Otago Wellington School of Medicine and Health Sciences, Wellington, New Zealand (CB); Department of Medical Oncology, Regional Cancer and Blood Service, Auckland District Health Board, Auckland, New Zealand (GL); and Section of...

In this paper we describe an implementation of a 2dimensional DCT processor and shows that the GALS (Globally Asynchronous Locally Synchronous) approach is highly suitable for implementation of such processors. Primarily it increases the design efficiency by using the divide-and-conquer approach.

Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander {v S}ostak in cite{BS}. In this paper, the authors generalize the structure of diuniformity in ditopological texture spaces defined in cite{OB} to the graded ditopological texture spaces and investigate graded ditopologies generated by graded diuniformities. The autors...

We establish basic properties of a sheaf graded algebras canonically associated to every relative affine scheme $$f:X\rightarrow S$$ endowed with an action the additive group $${\mathbb {G}}_{a,S}$$ over base or algebraic space S, which we call (relative) Rees algebra -action. In case varieties defined field characteristic zero, further {G}}_{a}$$ -action in terms its locally nilpotent derivati...

We show a generic, simple way to amplify the error-tolerance of locally decodable codes. Specifically, we show how to transform a locally decodable code that can tolerate a constant fraction of errors to a locally decodable code that can recover from a much higher error-rate. We also show how to transform such locally decodable codes to locally list-decodable codes. The transformation involves ...

The paper presents a method of obtaining functionally graded material (FGM) heterogeneous (layered) type based on joined metals Cr-Ti-Fe-Co-Ni-Cu using spark plasma sintering (SPS) technology. structure, elemental and phase composition FGM obtained the basis with different values temperature coefficient linear expansion (CTLE) were studied by SEM, EDS XRD methods regard to states alloy system. ...

for an $n$-gon with vertices at points $1,2,cdots,n$, the betti numbers of its suspension, the simplicial complex that involves two more vertices $n+1$ and $n+2$, is known. in this paper, with a constructive and simple proof, wegeneralize this result to find the minimal free resolution and betti numbers of the $s$-module $s/i$ where  $s=k[x_{1},cdots, x_{n}]$ and $i$ is the associated ideal to ...

Let $G$ be an abelian group with identity $e$. $R$ a $G$-graded commutative ring identity, $M$ graded $R$-module and $S\subseteq h(R)$ multiplicatively closed subset of $R$. In this paper, we introduce the concept $S$-prime submodules modules over rings. We investigate some properties class their homogeneous components. $N$ submodule such that $(N:_{R}M)\cap S=\emptyset $. say is \textit{a }$S$...

Let $G$ be a group, $R$ $G$-graded commutative ring with identity, $M$ graded $R$-module and $S\subseteq h(R)$ multiplicatively closed subset of $R$. In this paper, new concept $S$-primary submodules is introduced as generalization Primary well $S$-prime $M$. Also, some properties class are investigated.