Abstract
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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References
V. V. Chermnykh, “Functional representations of semirings,” J. Math. Sci., 187, No. 2, 187–267 (2012).
A. A. Tuganbaev, Ring Theory. Arithmetical Modules and Rings [in Russian], MCMME, Moscow (2009).
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 23, No. 3, pp. 13–21, 2020.
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Babenko, M.V., Chermnykh, V.V. On the Semirings of Skew Polynomials. J Math Sci 269, 276–281 (2023). https://doi.org/10.1007/s10958-023-06279-3
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DOI: https://doi.org/10.1007/s10958-023-06279-3