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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Sociedade Brasileira de Matemática
2017-03-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29429 |
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author | Mohammad Hassan Anjom SHoa Mohammad Hossein Hosseinie |
author_facet | Mohammad Hassan Anjom SHoa Mohammad Hossein Hosseinie |
author_sort | Mohammad Hassan Anjom SHoa |
collection | DOAJ |
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. |
first_indexed | 2024-04-12T19:22:09Z |
format | Article |
id | doaj.art-ee391ff28f9b4a33b2277981c772f2b2 |
institution | Directory Open Access Journal |
issn | 0037-8712 2175-1188 |
language | English |
last_indexed | 2024-04-12T19:22:09Z |
publishDate | 2017-03-01 |
publisher | Sociedade Brasileira de Matemática |
record_format | Article |
series | Boletim da Sociedade Paranaense de Matemática |
spelling | doaj.art-ee391ff28f9b4a33b2277981c772f2b22022-12-22T03:19:34ZengSociedade 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 |
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 |
title | 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_short | VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES |
title_sort | valuation derived from graded ring and module and krull dimension properties |
url | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/29429 |
work_keys_str_mv | AT mohammadhassananjomshoa valuationderivedfromgradedringandmoduleandkrulldimensionproperties AT mohammadhosseinhosseinie valuationderivedfromgradedringandmoduleandkrulldimensionproperties |