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 |
| Summary: | 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. |
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| ISSN: | 0037-8712 2175-1188 |