[Blueboard] Lecture on Algebra

evbagtas at mathsci.math.admu.edu.ph evbagtas at mathsci.math.admu.edu.ph
Wed Aug 29 15:16:09 PHT 2012


The Ateneo de Manila University
Mathematics Department


cordially invites you to a talk on


One-Sided k-Orthogonal Matrices Over Finite
Semi-Local Rings

by


Charles R. Repizo, MS
Mathematics Department, SOSE


on Monday, September 3, 2012
4:30 - 5:30 pm at SECA 303.


Abstract

Let R be a finite commutative ring with unity. An n by n matrix A over  
R is said to be left [resp. right] k-orthogonal if A'A=kI [resp.  
AA'=kI]. In this talk, properties of left [resp. right] k-orthogonal  
matrices over R, k a fixed element of R, are presented. The set of n  
by n left [resp. right] k-orthogonal matrices over R are  
multiplicative semigroups provided that k is idempotent. For  
illustration, we give the k-orthogonal semigroups for the Boolean ring  
F2+vF2 and the integer ring Z6, which are both semi-local rings.





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