On the Semirings of Skew Polynomials

Semirings of skew polynomials such as invariant, without nilpotent elements, Abelian, and Rickart without nilpotent elements are considered in this paper. Properties and characterizations of these semirings are obtained.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-01, Vol.269 (3), p.276-281
Hauptverfasser: Babenko, M. V., Chermnykh, V. V.
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Sprache:eng
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Zusammenfassung:Semirings of skew polynomials such as invariant, without nilpotent elements, Abelian, and Rickart without nilpotent elements are considered in this paper. Properties and characterizations of these semirings are obtained.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06279-3