ON GRADED PRINCIPAL IDEAL DOMAINS

被引：0

作者：

Ashby, William Todd ^{[1
]}

机构：

[1] Charleston Southern Univ, 9200 Univ Blvd, Charleston, SC 29406 USA

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2012年 / 24卷 / 02期

关键词：

graded rings; graded principal ideal domains;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In Caenepeel and Oystaeyen's [1] discussion of Bauer groups and the cohomology of graded rings, the topic of commutative rings arises. Specifically, certain results arise regarding graded principal ideal domains and graded Dedekind domains. Fossum and Foxby in [2] classify the graded fields. Motivated by this and Caenepeel and Oystaeyen's discussion, this paper will delve into the structure of graded principal ideal domains.

引用

页码：159 / 171

页数：13

共 50 条

[1] DIAGONALIZATION OF MATRICES OVER GRADED PRINCIPAL IDEAL DOMAINS
PUYSTJENS, R
VANGEEL, J
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1982, 48 (DEC) : 265 - 281
[2] PRINCIPAL IDEAL DOMAINS
SCOTT, L
COSTA, D
[J]. AMERICAN MATHEMATICAL MONTHLY, 1978, 85 (06): : 505 - 505
[3] LEFT PRINCIPAL IDEAL DOMAINS
JATEGAONKAR, AV
[J]. JOURNAL OF ALGEBRA, 1968, 8 (02) : 148 - +
[4] On the level of principal ideal domains
J. K. Arason
R. Baeza
[J]. Archiv der Mathematik, 2011, 96
[5] OVERRINGS OF PRINCIPAL IDEAL DOMAINS
BRUNGS, HH
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 28 (01) : 44 - &
[6] On the level of principal ideal domains
Arason, J. K.
Baeza, R.
[J]. ARCHIV DER MATHEMATIK, 2011, 96 (06) : 519 - 524
[7] Principal ideal domains are almost Euclidean
Greene, J
[J]. AMERICAN MATHEMATICAL MONTHLY, 1997, 104 (02): : 154 - 156
[8] LOCALLY COMPACT PRINCIPAL IDEAL DOMAINS
WARNER, SL
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 232 - &
[9] A SIMPLE CHARACTERIZATION OF PRINCIPAL IDEAL DOMAINS
QUEEN, CS
[J]. ACTA ARITHMETICA, 1993, 64 (02) : 125 - 128
[10] LOCALLY COMPACT PRINCIPAL IDEAL DOMAINS
WARNER, S
[J]. MATHEMATISCHE ANNALEN, 1970, 188 (04) : 317 - &

← 1 2 3 4 5 →