VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES

In this paper we show if R is a graded ring then we can dene a valuation on R induced by graded structure, and we prove some properties and relations for R. Later we show that if R is a graded ring and M a graded R-module then there exists a valuation on of M which is derived from graded structure a...

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Main Authors:	Mohammad Hassan Anjom SHoa, Mohammad Hossein Hosseinie
Format:	Article
Language:	English
Published:	Sociedade Brasileira de Matemática 2017-03-01
Series:	Boletim da Sociedade Paranaense de Matemática
Online Access:	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29429

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spelling	doaj-ee391ff28f9b4a33b2277981c772f2b22020-11-24T22:42:55ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882017-03-013529310310.5269/bspm.v35i2.2942913589VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIESMohammad Hassan Anjom SHoa0Mohammad Hossein Hosseinie1University of BirjandUniversity of BirjandIn this paper we show if R is a graded ring then we can dene a valuation on R induced by graded structure, and we prove some properties and relations for R. Later we show that if R is a graded ring and M a graded R-module then there exists a valuation on of M which is derived from graded structure and also we prove some properties and relations for R. In the following we give a new method for nding the Kurll dimension of a valuation ring.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29429
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mohammad Hassan Anjom SHoa Mohammad Hossein Hosseinie
spellingShingle	Mohammad Hassan Anjom SHoa Mohammad Hossein Hosseinie VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES Boletim da Sociedade Paranaense de Matemática
author_facet	Mohammad Hassan Anjom SHoa Mohammad Hossein Hosseinie
author_sort	Mohammad Hassan Anjom SHoa
title	VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES
title_short	VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES
title_full	VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES
title_fullStr	VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES
title_full_unstemmed	VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES
title_sort	valuation derived from graded ring and module and krull dimension properties
publisher	Sociedade Brasileira de Matemática
series	Boletim da Sociedade Paranaense de Matemática
issn	0037-8712 2175-1188
publishDate	2017-03-01
description	In this paper we show if R is a graded ring then we can dene a valuation on R induced by graded structure, and we prove some properties and relations for R. Later we show that if R is a graded ring and M a graded R-module then there exists a valuation on of M which is derived from graded structure and also we prove some properties and relations for R. In the following we give a new method for nding the Kurll dimension of a valuation ring.
url	http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29429
work_keys_str_mv	AT mohammadhassananjomshoa valuationderivedfromgradedringandmoduleandkrulldimensionproperties AT mohammadhosseinhosseinie valuationderivedfromgradedringandmoduleandkrulldimensionproperties
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VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES

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