FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 5, PAGES 161-170

Algebraicity in local rings

I. O. Kachkovski

Abstract

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In this paper, we study skew polynomials over local rings, their roots and decompositions. We introduce the concept of an algebraic set in a local ring and study this concept using the theory of skew polynomials.

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