Cross varieties of aperiodic monoids
Sergey V. Gusev
Abstract
A variety of universal algebras is called Cross if it is finitely based, finitely generated, and has only finitely many subvarieties. A monoid is aperiodic if all its subgroups are trivial. In the present article, we show that a variety of aperiodic monoids is Cross if and only if it excludes, as subvarieties, a certain list of 22 almost Cross varieties. Consequently, this list of 22 varieties exhausts all almost Cross varieties of aperiodic monoids.
Create a lesson
Related papers
A Finite E-Group of Nilpotency Class Three
Xinan Dai, Wenhao Deng, Yidong Shi et al.
A Brown Theorem for Dehn functions of graphs of groups
Claudio Llosa Isenrich, Jannis Weis
Groups with fast-growing conjugator length functions
Martin R. Bridson, Timothy R. Riley
On the complexity of the word problem of the R. Thompson group V
J. C. Birget
Nonsofic wreath products of residually finite groups
Gabor Kun, Andreas Thom
Inverse ambiguous maps on infinite groups
Sezen Bostan, Kıvanç Ersoy