REGULAR MATRICES AND THEIR STRONG PRESERVES OVER SEMIRINGS

Author (s) : N.KALAIVANI and V. JOTHILAKSHMI

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Abstract :
An  matrix  A over a semiring S is called regular if there is an  matrix G over S such that  AGA = A. We study the problem of  Characterizing those linear operators T on the matrices over a semiring such that T(X) is regular if and only if X is Complete Charcterizations are obtained for many semirings including the Boolean algebra, the nonnegative reals, the nonnegative and the fuzzy scalars.

Keywords : Matrices, Boolean algebra

Conference Date : 30/08/2019

Pages : 153

Paper ID : 19151