2005•Unpublished venueRequires access

Localization of a Commutative Semi-ring

Tuo Qing

Abstract

The main results obtained in this paper are as follows: For a commutative semi-ring, we (introduce) a new definition for localization, and discuss its properties; For commutative semi-rings A_1,A_2,…, and A_n, it is proved that the localization of the direct product A_1×A_2×…×A_n is isormorphic to the direct product of the localizations of A_1,A_2,…,and A_n; It is proved that the localization of a (commutative) semi-ring possesses the universal property.

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Key concepts: Commutative property, Commutative ring, Ring (chemistry), Pure mathematics, Mathematics, Product (mathematics), Property (philosophy), Noncommutative ring