Locally nilpotent groups of units in tiled rings
Copyright policy )Locally nilpotent groups of units in tiled rings
Let \(R\) be an Artinian local ring with maximal ideal \(\mathfrak m\). Assume that \(R/\mathfrak m\) is commutative and \(\mathfrak m/\mathfrak m^2\) central in \(R/\mathfrak m^2\). For a basic tiled \(R\)-algebra \(\Lambda\), every maximal locally nilpotent subgroup of \(\Lambda^\times\) is a maximal Engel subgroup. The main result describes Engel subgroups of \(\Lambda^\times\) up to conjugacy.
- UNIVERSIDADE DE SAO PAULO Brazil
- Universidade de São Paulo Brazil
- Taras Shevchenko National University of Kyiv Ukraine
Units, groups of units (associative rings and algebras), Algebra and Number Theory, incidence rings, Tiled order, Other matrix groups over rings, unit groups, tiled orders, Engel subgroups, Tiled ring, Engel conditions, nilpotent subgroups, Nilpotent subgroup, Unit group, Engel subgroup, Incidence ring, tiled rings
Units, groups of units (associative rings and algebras), Algebra and Number Theory, incidence rings, Tiled order, Other matrix groups over rings, unit groups, tiled orders, Engel subgroups, Tiled ring, Engel conditions, nilpotent subgroups, Nilpotent subgroup, Unit group, Engel subgroup, Incidence ring, tiled rings
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!