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Semigroup ideals with multiplicative semiderivations and commutativity of 3-prime near-rings

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DataCite Commons2023-04-14 更新2025-04-16 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/26861/22209
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资源简介:
In the present paper, we introduce the notion of multiplicative semiderivation and prove some theorems in the setting of a semigroup ideal of a 3-prime near-ring admitting a multiplicative semiderivation. Thereby, it is shown that under appropriate additional hypotheses a near-ring must be a commutative ring. Furthermore, an example is given to illustrate that the 3-primeness hypothesis is not superfluous.
提供机构:
University of Salento
创建时间:
2023-04-14
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