Abstract

GONZALEZ GUTIERREZ, N. R  and  SUAREZ GOMEZ, Y. P. Ideals in the Skew Polynomials Ring R [x ;σ, δ]. Ciencia en Desarrollo [online]. 2014, vol.5, n.1, pp.31-37. ISSN 0121-7488.

This article aims to present the Hilbert’s Basis Theorem for a skew polynomials ring, some classes of ideals that are defined in this ring, and the necessary conditions for an skew polynomials ring to be semiprimitive. Moreover, some examples for the definitions are provided for its better understanding. The proofs of the results in this article are detailed versions of those obtained from the bibliographical references.

Keywords : Skew polynomials ring; semiprimitive ring; endomorphism.

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