On perfect ideals of seminearrings
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 62 - Trang 823-842 - 2020
Tóm tắt
In this paper, we present the notion of perfect ideal of a seminearring S and prove that the kernel of a seminearring homomorphism is a perfect ideal. We show that the quotient structure S/I is isomorphic to the structure
$$S_{T(I)}.$$
Finally, we prove isomorphism theorems in seminearrings by using tame condition.
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