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Rings Generated by Units

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Ashish Srivastava, SLU

What
  • Algebra Seminar
When Thu, Sep 13, 2007
from 02:10 PM to 03:00 PM
Where RH 232
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A classical result of Zelinsky states that every linear transformation on a vector space V, except when V is one-dimensional over $Z_2$, is a sum of two invertible linear transformations.  We extend this result to any right self-injective ring R by proving that every element of R is a sum of two units if and only if no factor ring of R is isomorphic to $Z_2$.  Some other related old and new  results will also be discussed.

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