Ore Extensions over Total Valuation Rings
Abstract It is shown that any Ore extension R = V[x;σ,δ] over a total valuation ring V is always v-Bezout which is a generalization of commutative GCD domains. By using this result, a necessary and sufficient condition are given for R to be fully left bounded.
Gespeichert in:
| Autor*in: |
Marubayashi, Hidetoshi [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2009 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media B.V. 2009 |
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| Übergeordnetes Werk: |
Enthalten in: Algebras and representation theory - Springer Netherlands, 1998, 13(2009), 5 vom: 13. Feb., Seite 607-622 |
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| Übergeordnetes Werk: |
volume:13 ; year:2009 ; number:5 ; day:13 ; month:02 ; pages:607-622 |
| Links: |
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| DOI / URN: |
10.1007/s10468-009-9139-4 |
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OLC203643679X |
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| 520 | |a Abstract It is shown that any Ore extension R = V[x;σ,δ] over a total valuation ring V is always v-Bezout which is a generalization of commutative GCD domains. By using this result, a necessary and sufficient condition are given for R to be fully left bounded. | ||
| 650 | 4 | |a Ore extension | |
| 650 | 4 | |a Total valuation ring | |
| 650 | 4 | |a Commutative GCD domain | |
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Ore Extensions over Total Valuation Rings |
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Abstract It is shown that any Ore extension R = V[x;σ,δ] over a total valuation ring V is always v-Bezout which is a generalization of commutative GCD domains. By using this result, a necessary and sufficient condition are given for R to be fully left bounded. © Springer Science+Business Media B.V. 2009 |
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Abstract It is shown that any Ore extension R = V[x;σ,δ] over a total valuation ring V is always v-Bezout which is a generalization of commutative GCD domains. By using this result, a necessary and sufficient condition are given for R to be fully left bounded. © Springer Science+Business Media B.V. 2009 |
| abstract_unstemmed |
Abstract It is shown that any Ore extension R = V[x;σ,δ] over a total valuation ring V is always v-Bezout which is a generalization of commutative GCD domains. By using this result, a necessary and sufficient condition are given for R to be fully left bounded. © Springer Science+Business Media B.V. 2009 |
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Ore Extensions over Total Valuation Rings |
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https://doi.org/10.1007/s10468-009-9139-4 |
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| doi_str |
10.1007/s10468-009-9139-4 |
| up_date |
2024-07-04T03:24:19.987Z |
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1803617262636105728 |
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