The Topological Version of Groups Generated by Reflections.
The topology of continuous partially-additive monoids
The topology of the free topological semigroup
The topology of the relative character varieties of a quadruply-punctured sphere.
The totally simple quasigroups
The translational degree of a semigroup.
The translational hull in semigroups and rings.
The translational hull of a normal cryptogroup
The translational hull of a subsemigroup of a semilattice of groups.
The translational hull of an adequate semigroup.
The triangle and the open triangle
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
The triangle groups
The Union of Compact Subgroups of a Connected Locally Compact Group.
The uniqueness of groups of type J4.
The unit group of .
The unit groups of semisimple group algebras of some non-metabelian groups of order
We consider all the non-metabelian groups of order that have exponent either or and deduce the unit group of semisimple group algebra . Here, denotes the power of a prime, i.e., for prime and a positive integer . Up to isomorphism, there are groups of order that have exponent either or . Additionally, we also discuss how to simply obtain the unit groups of the semisimple group algebras of those non-metabelian groups of order that are a direct product of two nontrivial...
The universal group of homogeneous quotients.
The upper central series of some matrix groups
The upper triangular algebra loop of degree
A natural loop structure is defined on the set of unimodular upper-triangular matrices over a given field. Inner mappings of the loop are computed. It is shown that the loop is non-associative and nilpotent, of class 3. A detailed listing of the loop conjugacy classes is presented. In particular, one of the loop conjugacy classes is shown to be properly contained in a superclass of the corresponding algebra group.
The varieties of languages corresponding to the varieties of finite band monoids.