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 |
| Published: |
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 |
| _version_ | 1811262266641743872 |
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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 |