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A REDUCTION THEOREM FOR RING VARIETIES WHOSE SUBVARIETY LATTICE IS DISTRIBUTIVE.

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Title: A REDUCTION THEOREM FOR RING VARIETIES WHOSE SUBVARIETY LATTICE IS DISTRIBUTIVE.
Authors: Volkov, Mikhail V.1 Mikhail.Volkov@usu.ru
Source: Discussiones Mathematicae: General Algebra & Applications. 2010, Vol. 30 Issue 1, p119-132. 14p. 1 Diagram.
Subjects: Integral theorems, Associative rings, Lattice theory, Finite element method, Mathematics
Abstract: We prove a theorem (for arbitrary ring varieties and, in a stronger form, for varieties of associative rings) which basically reduces the problem of a description of varieties with distributive subvariety lattice to the case of algebras over a finite prime field. [ABSTRACT FROM AUTHOR]
Copyright of Discussiones Mathematicae: General Algebra & Applications is the property of University of Zielona Gora and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: A REDUCTION THEOREM FOR RING VARIETIES WHOSE SUBVARIETY LATTICE IS DISTRIBUTIVE.
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  Data: We prove a theorem (for arbitrary ring varieties and, in a stronger form, for varieties of associative rings) which basically reduces the problem of a description of varieties with distributive subvariety lattice to the case of algebras over a finite prime field. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Discussiones Mathematicae: General Algebra & Applications is the property of University of Zielona Gora and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.7151/dmgaa.1165
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      – SubjectFull: Associative rings
        Type: general
      – SubjectFull: Lattice theory
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      – SubjectFull: Finite element method
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      – TitleFull: A REDUCTION THEOREM FOR RING VARIETIES WHOSE SUBVARIETY LATTICE IS DISTRIBUTIVE.
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              Text: 2010
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