B. Yahaghi

activity

20152026

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Showing 2015Show all

4 papers · 1 filter

math.RA2015

A theorem of Kaplansky revisited

Heydar Radjavi, Bamdad R. Yahaghi

We present a new and simple proof of a theorem due to Kaplansky which unifies theorems of Kolchin and Levitzki on triangularizability of semigroups of matrices. We also give two di…

math.RA2015

On modules of linear transformations

M. Rahimi-Alangi, Bamdad R. Yahaghi

Let $D$ be a division ring, $V$ and $W$ vector spaces over $D$ , and $L (V, W)$ the $L (W)$ -${\mathcal L(\mathcal V)…

math.RA2015

On nest modules of matrices over division rings

M. Rahimi-Alangi, Bamdad R. Yahaghi

Let $m, n \in N$ , $D$ be a division ring, and $M_{m \times n} (D)$ denote the bimodule of all $m \times n$ matrices with entries from $D$ . First, we characterize one-side…

math.RA2015

Theorems of Burnside and Wedderburn revisited

Bamdad R. Yahaghi

We approach celebrated theorems of Burnside and Wedderburn via simultaneous triangularization. First, for a general field $F$ , we prove that $M_{n} (F)$ is the only irrreducible subal…