On isotopes of groups. II

Authors

  • F. M. Sokhats’kyi

Abstract

We select canonical decompositions of the isotopes of groups, show that they are unique, and establish relationships between them. We also obtain external characteristics of the identities which imply the linearity or alinearity of the isotopy and the commutativity of the corresponding group. We describe the identities of linear isotopes of Abelian groups, i.e., ofT-quasigroups, and suggest a new method for the description of isotopic closures of classes of groups.

Published

25.12.1995

Issue

Section

Research articles

How to Cite

Sokhats’kyi, F. M. “On Isotopes of Groups. II”. Ukrains’kyi Matematychnyi Zhurnal, vol. 47, no. 12, Dec. 1995, pp. 1692–1703, https://umj.imath.kiev.ua/index.php/umj/article/view/5563.