Left ideals in matrix rings over finite fields

Autor:	Ferraz, R. A., Milies, C. Polcino, Taufer, E.
Rok vydání:	2017
Předmět:	Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	It is well-known that each left ideals in a matrix rings over a finite field is generated by an idempotent matrix. In this work we compute the number of left ideals in these rings, the number of different idempotents generating each left ideal, and give explicitly a set of idempotent generators of all left ideals of a given rank.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1711.09289 Zobrazit plný text záznamu View this record from Arxiv