Examples of Armendariz Rings

Ramon Antoine

doi:10.1080/00927870903337968

Examples of Armendariz Rings

Ramon Antoine

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

17 Citations (Scopus)

Abstract

We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. © 2010 Copyright Taylor and Francis Group, LLC.

Original language	English
Pages (from-to)	4130-4143
Journal	Communications in Algebra
Volume	38
Issue number	11
DOIs	https://doi.org/10.1080/00927870903337968
Publication status	Published - 1 Nov 2010

Keywords

Armendariz rings
Polynomial rings

Access to Document

10.1080/00927870903337968

Cite this

@article{99883c3509f2454da88f43d0076ced35,

title = "Examples of Armendariz Rings",

abstract = "We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. {\textcopyright} 2010 Copyright Taylor and Francis Group, LLC.",

keywords = "Armendariz rings, Polynomial rings",

author = "Ramon Antoine",

year = "2010",

month = nov,

day = "1",

doi = "10.1080/00927870903337968",

language = "English",

volume = "38",

pages = "4130--4143",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "11",

}

TY - JOUR

T1 - Examples of Armendariz Rings

AU - Antoine, Ramon

PY - 2010/11/1

Y1 - 2010/11/1

N2 - We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. © 2010 Copyright Taylor and Francis Group, LLC.

AB - We construct various examples of Armendariz and related rings by reviewing and extending some results concerning the structure of nil(R). In particular, we give some examples of Armendariz rings related to power series rings and an example of an n-Armendariz ring, for all n ≥ 1, which is not Armendariz. © 2010 Copyright Taylor and Francis Group, LLC.

KW - Armendariz rings

KW - Polynomial rings

U2 - 10.1080/00927870903337968

DO - 10.1080/00927870903337968

M3 - Article

SN - 0092-7872

VL - 38

SP - 4130

EP - 4143

JO - Communications in Algebra

JF - Communications in Algebra

IS - 11

ER -

Examples of Armendariz Rings

Abstract

Keywords

Access to Document

Fingerprint

Cite this