On the Zariski topology of Ω-groups

被引：0
|
作者：
Lipyanski, R. [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
GROUPS, ALGEBRAS AND IDENTITIES | 2019年 / 726卷
关键词：
Equational domain; variety of Omega-groups; anticommutative Omega-group; the Zariski topology;
D O I：
10.1090/conm/726/14610
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A number of geometric properties of Omega-groups from a given variety of Omega-groups can be characterized using the notions of domain and equational domain. An Omega-group H of a variety Theta is an equational domain in Theta if the union of algebraic varieties over H is an algebraic variety. We give necessary and sufficient conditions for an Omega-group H in Theta to be an equational domain in this variety.
引用
收藏
页码：135 / 142
页数：8
相关论文
共 50 条
  • [1] Zariski topology and Markov topology on groups
    Dikranjan, Dikran
    Toller, Daniele
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2018, 241 : 115 - 144
  • [2] Productivity of the Zariski topology on groups
    Dikranjan, D.
    Toller, D.
    [J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2013, 54 (02): : 219 - 237
  • [3] THE ZARISKI TOPOLOGY AND ALGEBRAIC MATRIX GROUPS
    KAPLANSKY, I
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (06) : 527 - 527
  • [4] A note on the Zariski topology on groups and semigroups
    Goffer, Gil
    Greenfeld, Be'eri
    [J]. JOURNAL OF ALGEBRA, 2024, 651 : 111 - 118
  • [5] Groups with cofinite Zariski topology and potential density
    Bonatto, Marco
    Dikranjan, Dikran
    Toller, Daniele
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2023, 340
  • [6] Zariski Topology
    Watase, Yasushige
    [J]. FORMALIZED MATHEMATICS, 2018, 26 (04): : 277 - 283
  • [7] On a Subspace of Dual Zariski Topology On a Subspace of Dual Zariski Topology
    Ceken, Secil
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863
  • [8] A Zariski Topology for Semimodules
    Atani, Shahabaddin Ebrahimi
    Atani, Reza Ebrahimi
    Tekir, Unsal
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2011, 4 (03): : 251 - 265
  • [9] A ZARISKI TOPOLOGY FOR MODULES
    Abuhlail, Jawad
    [J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (11) : 4163 - 4182
  • [10] A Zariski topology for bicomodules and corings
    Abuhlail, Jawad Y.
    [J]. APPLIED CATEGORICAL STRUCTURES, 2008, 16 (1-2) : 13 - 28
12345