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西中 恒和

ニシナカ ツネカズ  (Tsunekazu Nishinaka)

基本情報

所属
兵庫県立大学 国際商経学部 教授
学位
博士(理学)(岡山大学)
理学修士(岡山大学)

通称等の別名
Kazu Nishinaka
研究者番号
20278899
J-GLOBAL ID
200901034255655159
researchmap会員ID
1000192526

外部リンク

研究キーワード

 4

学歴

 2

受賞

 1

論文

 15
  • 西中恒和
    京都大学数理解析研究所講究録 2229 103-111 2022年9月  筆頭著者
  • Tsunekazu Nishinaka
    Journal of Group Theory 21(1) 101-105 2018年1月1日  査読有り筆頭著者責任著者
    In this note, we show that an uncountable locally free group G, and therefore every locally free group, has a free subgroup whose cardinality is the same as that of G. This result directly improves the main result in [4] and establishes the primitivity of group rings of locally free groups.
  • James Alexander, Tsunekazu Nishinaka
    Journal of Algebra 473 221-246 2017年3月  査読有り筆頭著者最終著者責任著者
  • Tsunekazu Nishinaka
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION 21(3) 409-431 2011年5月  査読有り
    We prove that every group ring of a non-abelian locally free group which is the union of an ascending sequence of free groups is primitive. In particular, every group ring of a countable non-abelian locally free group is primitive. In addition, by making use of the result, we give a necessary and sufficient condition for group rings of ascending HNN extensions of free groups to be primitive, which extends the main result in [Group rings of proper ascending HNN extensions of countably infinite free groups are primitive, J. Algebra 317 (2007) 581-592] to the general cardinality case.
  • Tsunekazu Nishinaka
    JOURNAL OF ALGEBRA 317(2) 581-592 2007年11月  査読有り
    We prove that every group ring of a proper ascending HNN extension of a free group with at most countably infinite rank is primitive. (c) 2007 Elsevier Inc. All rights reserved.

MISC

 13

書籍等出版物

 1

講演・口頭発表等

 9

共同研究・競争的資金等の研究課題

 4