USNA Pure Mathematics Seminar

The talks for the academic year 2004-2005 are held Thursdays in Preble Hall at 3:45 pm unless otherwise stated.

 

Speaker:

Bill Wardlaw


USNA

 

Title:

Good and Square Matrices are Invertible

 

Abstract: An r x n matrix A over a commutative ring R with 1 is left good if (xA) = (x) for every r-tuple x in Rr. (Here (x) denotes the ideal in R generated by the entries in x.) We show that a matrix A over R is invertible over R if and only if A is good and square. Some related properties of matrices will also be discussed.

 

Time: 3:45pm, Monday April 25, 2005
Place: Preble 242

 

Reception beforehand.