Some Results on Hyper Commutative Basic Algebras.

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Title: Some Results on Hyper Commutative Basic Algebras.
Authors: WANG, JING1 sduligang@163.com, LI, GANG1 wangjing3421@sina.com
Source: Journal of Multiple-Valued Logic & Soft Computing. 2025, Vol. 46 Issue 5/6, p587-600. 14p.
Subjects: Commutative algebra, Algebra, Hypergroups
Abstract: In this paper, we characterize hyper commutative basic algebras in which 0 or 1 is a scalar element. And then we give the conditions on which a hyper commutative basic algebra to be a commutative basic algebra. We also investigate the hyper substructure of hyper commutative basic algebras. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Multiple-Valued Logic & Soft Computing is the property of Old City Publishing, Inc. 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: Some Results on Hyper Commutative Basic Algebras.
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  Data: <searchLink fieldCode="DE" term="%22Commutative+algebra%22">Commutative algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Hypergroups%22">Hypergroups</searchLink>
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  Data: In this paper, we characterize hyper commutative basic algebras in which 0 or 1 is a scalar element. And then we give the conditions on which a hyper commutative basic algebra to be a commutative basic algebra. We also investigate the hyper substructure of hyper commutative basic algebras. [ABSTRACT FROM AUTHOR]
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  Group: Ab
  Data: <i>Copyright of Journal of Multiple-Valued Logic & Soft Computing is the property of Old City Publishing, Inc. 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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      – Code: eng
        Text: English
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        PageCount: 14
        StartPage: 587
    Subjects:
      – SubjectFull: Commutative algebra
        Type: general
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Hypergroups
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            – D: 15
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              Text: 2025
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              Y: 2025
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