超环的广义质心

Q4 Mathematics Discussiones Mathematicae - General Algebra and Applications Pub Date : 2022-03-01 DOI:10.7151/dmgaa.1387

H. Yazarli, B. Davvaz, Damla Yılmaz

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摘要

摘要本文将广义质心的概念应用于超环。我们证明了半素超环R的广义质心C是正则超环。此外，我们还证明了如果C是超场，那么R是素数超环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized Centroid of Hyperrings

Abstract In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.

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