Title of article :
IDEMPOTENTS IN CERTAIN MATRIX RINGS OVER POLYNOMIAL RINGS
Author/Authors :
. Balmaceda, Jose Maria P Institute of Mathematics College of Science - University of the Philippines, Philippines , Pauline P. Datu, Joanne Institute of Mathematics College of Science - University of the Philippines, Philippines
Abstract :
We determine the forms of the nontrivial idempotents in the ring
of 2 × 2 matrices over the polynomial rings Zpq[x] and Zp2 [x], where p and
q are any primes. Any such idempotent in the stated rings will be of a form
in our list. Our work generalizes the results of Kanwar, Khatkar and Sharma
(2017) who identified the forms of idempotents in M2(Z2p[x]) and M2(Z3p[x]).
Keywords :
Idempotent , matrix ring , polynomial ring
Journal title :
International Electronic Journal of Algebra
