Complete radicals of some group rings
Abstract We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kornev, A. I. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, Inc. 2007 |
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| Übergeordnetes Werk: |
Enthalten in: Siberian mathematical journal - Springer US, 1966, 48(2007), 5 vom: Sept., Seite 857-862 |
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| Übergeordnetes Werk: |
volume:48 ; year:2007 ; number:5 ; month:09 ; pages:857-862 |
| Links: |
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| DOI / URN: |
10.1007/s11202-007-0087-0 |
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OLC2033381277 |
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| 520 | |a Abstract We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field. | ||
| 650 | 4 | |a group ring | |
| 650 | 4 | |a complete ring | |
| 650 | 4 | |a complete radical | |
| 650 | 4 | |a Kurosh-Amitsur radical | |
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Abstract We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field. © Springer Science+Business Media, Inc. 2007 |
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Abstract We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field. © Springer Science+Business Media, Inc. 2007 |
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Abstract We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field. © Springer Science+Business Media, Inc. 2007 |
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I.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Complete radicals of some group rings</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, Inc. 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We continue studying the associative rings complete and reduced in the sense of Martynov. We prove that the group of invertible elements of a reduced associative ring is reduced. We compute the complete radical of a group ring over the ring of integers and the complete radical of the group algebra over an arbitrary algebra over a finite prime field.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">group ring</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">complete ring</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">complete radical</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kurosh-Amitsur radical</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Siberian mathematical journal</subfield><subfield code="d">Springer US, 1966</subfield><subfield code="g">48(2007), 5 vom: Sept., Seite 857-862</subfield><subfield code="w">(DE-627)129553573</subfield><subfield code="w">(DE-600)220062-4</subfield><subfield code="w">(DE-576)015009602</subfield><subfield code="x">0037-4466</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:48</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:5</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:857-862</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11202-007-0087-0</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">48</subfield><subfield code="j">2007</subfield><subfield code="e">5</subfield><subfield code="c">09</subfield><subfield code="h">857-862</subfield></datafield></record></collection>
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