VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES
Anjom SHoa, Mohammad Hassan ; Hosseinie, Mohammad Hossein
Boletim da Sociedade Paranaense de Matemática, Tome 35 (2016), / Harvested from Portal de Periódicos da UEM
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In this paper we show if R is a graded ring then we can dene avaluation 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.

Publié le : 2016-01-01
DOI : https://doi.org/10.5269/bspm.v35i2.29429 
@article{29429,
     title = {VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {35},
     year = {2016},
     doi = {10.5269/bspm.v35i2.29429},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/29429}
}

Anjom SHoa, Mohammad Hassan; Hosseinie, Mohammad Hossein. VALUATION DERIVED FROM GRADED RING AND MODULE AND KRULL DIMENSION PROPERTIES. Boletim da Sociedade Paranaense de Matemática, Tome 35 (2016) . doi : 10.5269/bspm.v35i2.29429. http://gdmltest.u-ga.fr/item/29429/