Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On roots and subsemigroups of nilpotent groups


Author: Joseph E. Kuczkowski
Journal: Proc. Amer. Math. Soc. 28 (1971), 50-52
MSC: Primary 20.40
MathSciNet review: 0274585
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: $ {E_\omega },{U_\omega }$ and $ {D_\omega }$ semigroups are defined by extrapolating the definitions of their group counterparts; and a class $ n$ semigroup is defined to be a subsemigroup of a class $ n$ group. The purpose of this paper is to show that a class $ n{E_\omega }$ semigroup generates an $ {E_\omega }$ group and that a class $ n$ semigroup is $ {U_\omega }$ if and only if it generates a $ {U_\omega }$ group.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20.40

Retrieve articles in all journals with MSC: 20.40


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0274585-4
PII: S 0002-9939(1971)0274585-4
Keywords: $ {E_\omega }$ semigroup, $ {U_\omega }$ semigroup, $ {D_\omega }$ semigroup, $ \omega $-free group, $ \omega $-subgroup
Article copyright: © Copyright 1971 American Mathematical Society