A note on Gaussian series rings

Eun Sup Kim; Seung Min Lee; Jung Wook Lim

doi:10.5666/KMJ.2017.57.3.419

A note on Gaussian series rings

Eun Sup Kim, Seung Min Lee, Jung Wook Lim

Kyungpook National University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	419-431
Number of pages	13
Journal	Kyungpook Mathematical Journal
Volume	57
Issue number	3
DOIs	https://doi.org/10.5666/KMJ.2017.57.3.419
State	Published - 2017

Keywords

Gaussian series ring
L-Hermite ring
McCoy's theorem
Noetherian ring
Q-torsion-free
Right K-Hermite ring

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10.5666/KMJ.2017.57.3.419

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title = "A note on Gaussian series rings",

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, L-Hermite ring, McCoy's theorem, Noetherian ring, Q-torsion-free, Right K-Hermite ring",

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AU - Kim, Eun Sup

AU - Lee, Seung Min

AU - Lim, Jung Wook

N1 - Publisher Copyright: © Kyungpook Mathematical Journal.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Gaussian series ring

KW - L-Hermite ring

KW - McCoy's theorem

KW - Noetherian ring

KW - Q-torsion-free

KW - Right K-Hermite ring

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DO - 10.5666/KMJ.2017.57.3.419

M3 - Article

AN - SCOPUS:85032294022

SN - 1225-6951

VL - 57

SP - 419

EP - 431

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 3

ER -

A note on Gaussian series rings

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Keywords

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