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arXiv · 1108.5448

Star operation on orders in simple Artinian rings

Nazer H. Halimi
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Abstract

Star operations are an important tool in multiplicative ideal theory. In this paper we apply a special type of star operation, known as $ν$-operation, to define the notion of right Prüfer $ν$-multiplication order. The latter may be viewed as a natural non-commutative version of Prüfer $ν$-multiplication domain. As one of our main results, we establish that an overring of a right Prüfer $ν$-multiplication order is again a right Prüfer $ν$-multiplication order.

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Nazer H. Halimi. 2011-08-27. Star operation on orders in simple Artinian rings. https://arxiv.org/abs/1108.5448

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