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
Pages
12
From page
1
To page
12
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
Serial Year
2020
Full Text URL
Record number
2599124
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