Faith-Utumi Theorem for Associative Pairs: Communications in Algebra: Vol 31, No 9

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Abstract

In Fortes (2001), we introduced a notion of order for associative pairs and we obtained a Goldie-like characterization of left orders in a semiprime pair coinciding with its socle. In this paper, we take up again that notion of order to establish a Faith-Utumi theorem, which studies left orders in a prime pair coinciding with its socle.

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Faith-Utumi Theorem for Associative Pairs

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