An expansion of the Jones representation of genus 2 and the Torelli group.
An explicit Brauer formula for local Galois characters.
An extension of Zassenhaus' theorem on endomorphism rings
Let R be a ring with identity such that R⁺, the additive group of R, is torsion-free. If there is some R-module M such that and , we call R a Zassenhaus ring. Hans Zassenhaus showed in 1967 that whenever R⁺ is free of finite rank, then R is a Zassenhaus ring. We will show that if R⁺ is free of countable rank and each element of R is algebraic over ℚ, then R is a Zassenhaus ring. We will give an example showing that this restriction on R is needed. Moreover, we will show that a ring due to A....
An extension theorem of functionals on commutative semigroups
An exterior product for the homology of groups with integral coefficients modulo
An identity generator: basic commutators.
An implementation of the Neumann-Praeger algorithm for the recognition of special linear groups.
An improved tableau criterion for Bruhat order.
An improvement on Olson's constant for ℤₚ ⊕ ℤₚ
An infinite collection of absolutely convex subgroups
An infinite dimensional Hodge-Tate theory
An infinite-dimensional torsion-free FP...group.
An Intertwining Number Theorem for Integral Representations and Applications.
An introduction to -graphs, a graph-theoretic representation of natural numbers.
An introduction to loopoids
We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.
An invariant for finitely presented ...G-modules.
An inverse matrix of an upper triangular matrix can be lower triangular
In this note we explain why the group of n×n upper triangular matrices is defined usually over commutative ring while the full general linear group is defined over any associative ring.
An investigation on hyperS-posets over ordered semihypergroups
In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties. In particular, we characterize the structure of factor hyper S-posets by pseudoorders. Furthermore, we introduce the concepts of order-congruences and strong order-congruences on a hyper S-poset A, and obtain the relationship between strong order-congruences and pseudoorders on A. We also characterize...
An order theoretic characterization of locally orthodox regular semigroups.
An order topology for finitely generated free monoids.