[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2017.57.3.419

A Note on Gaussian Series Rings

Kim, Eun Sup (Department of Mathematics, Kyungpook National University)
Lee, Seung Min (Department of Mathematics, Kyungpook National University)
Lim, Jung Wook (Department of Mathematics, Kyungpook National University)

Publication Information

Kyungpook Mathematical Journal / v.57, no.3, 2017 , pp. 419-431 More about this Journal

Abstract

In this paper, we define a new kind of formal power series rings by using Gaussian binomial coefficients and investigate some properties. More precisely, we call such a ring a Gaussian series ring and study McCoy's theorem, Hermite properties and Noetherian properties.

Keywords

Gaussian series ring; q-torsion-free; McCoy's theorem; right K-Hermite ring; L-Hermite ring; Noetherian ring;

Citations & Related Records

Reference

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