Abstract
Given a ring T_n (ngeqslant 2) of lower triangular ntimes n matrices with entries from an arbitrary field F, we completely classify the orbits of free cyclic submodules of ^2T_n under the action of the general linear group GL_2(T_n). Interestingly, the total number of such orbits is found to be equal to the Bell number B_n. A representative of each orbit is also given.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
