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
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
收藏
页码:159 / 171
页数:13
相关论文
共 50 条
  • [21] GVW algorithm over principal ideal domains
    Li Dongmei
    Liu Jinwang
    Liu Weijun
    Zheng Licui
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2013, 26 (04) : 619 - 633
  • [22] PRINCIPAL IDEAL DOMAINS WITH SPECIFIED RESIDUE FIELDS
    HEITMANN, RC
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A385 - A385
  • [23] DUALITY IN MODULES OVER PRINCIPAL IDEAL DOMAINS
    HANNA, A
    YAQUB, FM
    [J]. ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1971, 22 (1-2): : 203 - &
  • [24] Nice derivations over principal ideal domains
    Dasgupta, Nikhilesh
    Gupta, Neena
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2018, 222 (12) : 4161 - 4172
  • [25] Principal ideal domains and Euclidean domains having 1 as the only unit
    Heinzer, W
    Roitman, M
    [J]. COMMUNICATIONS IN ALGEBRA, 2001, 29 (11) : 5197 - 5208
  • [26] THE DYNAMIC FEEDBACK CYCLIZATION PROBLEM FOR PRINCIPAL IDEAL DOMAINS
    BREWER, J
    KLINGLER, L
    SCHMALE, W
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1994, 92 (03) : 213 - 225
  • [27] The dynamic feedback equivalence over principal ideal domains
    Hermida-Alonso, JA
    Trobajo, MT
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 368 : 197 - 208
  • [28] S-*w-Principal Ideal Domains
    Kim, Hwankoo
    Lim, Jung Wook
    [J]. ALGEBRA COLLOQUIUM, 2018, 25 (02) : 217 - 224
  • [29] STACKED BASES FOR MODULES OVER PRINCIPAL IDEAL DOMAINS
    COHEN, JM
    GLUCK, HR
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (03): : 556 - &
  • [30] Whitehead modules over large principal ideal domains
    Eklof, PC
    Shelah, S
    [J]. FORUM MATHEMATICUM, 2002, 14 (03) : 477 - 482