Algebraic Approach to Formal Microstructure Sheaves and Formal Quantum Sheaves Over Projective Schemes

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contributor.author Radwan, Ahmed E. en_US
contributor.author Hashem, K. A. en_US
date.accessioned 2009-11-25T15:19:44Z en_US
date.available 2009-11-25T15:19:44Z en_US
date.issued 2007 en_US
identifier.citation Qatar University Science Journal, 2007, Vol. 27, Pages 1-10. en_US
identifier.uri http://hdl.handle.net/10576/9873 en_US
description.abstract The I-adic non-commutative filtrations have crucial applications in the study of Lie algebras and the integral group rings. The I-completion R of a commutative ring R is considered a useful tool in algebraic geometry. Here in this paper we study and prove certain algebraic properties of the filtered (Rees-graded) formal micro-sheaves over Y = specs(G(R)) or p(Y) = proj(G(R)). We observed that the microlocalizations of I-adic completions appear as solutions for the formal sheaves over Y or p(Y). We prove that the formal sheaves over Y or p(Y) are strongly filtered flat sheaves. en_US
language.iso en en_US
publisher Qatar University en_US
subject Mathematics en_US
title Algebraic Approach to Formal Microstructure Sheaves and Formal Quantum Sheaves Over Projective Schemes en_US
type Article en_US
identifier.pagination 1-10 en_US
identifier.volume 27 en_US


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