研究者業績

Tsunekazu Nishinaka

  (西中 恒和)

Profile Information

Affiliation
Professor, School of Economics, University of Hyogo
Degree
Ph.D(Okayama University)
Master of Science(Okayama University)

Other name(s) (e.g. nickname)
Kazu Nishinaka
Researcher number
20278899
J-GLOBAL ID
200901034255655159
researchmap Member ID
1000192526

External link

Research Interests

 4

Awards

 1

Papers

 15
  • Tsunekazu Nishinaka
    RIMS Kokyuroku, 2229 103-111, Sep, 2022  Lead author
  • Tsunekazu Nishinaka
    Journal of Group Theory, 21(1) 101-105, Jan 1, 2018  Peer-reviewedLead authorCorresponding author
    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, Mar, 2017  Peer-reviewedLead authorLast authorCorresponding author
  • Tsunekazu Nishinaka
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 21(3) 409-431, May, 2011  Peer-reviewed
    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, Nov, 2007  Peer-reviewed
    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

Books and Other Publications

 1

Presentations

 9

Research Projects

 4