A note on the covering number of some finite rings
Houssein El Turkey
University of New Haven
Cassandra M. Pray
University of New Haven
Abstract
The minimum number of proper subrings needed to cover a ring R is called the covering number of R. In this paper, we compute the covering number of certain finite rings. When the ring is not coverable, we provide an element that generates the whole ring.
Author Biographies
Houssein El Turkey, University of New Haven
Houssein El Turkey is an assitant professor of Mathematics at the University of New Haven. His research interests are in Lie superalgebras and Undergraduate Mathematics Education.
Cassandra M. Pray, University of New Haven
Cassandra was an undergraduate junior/senior studying applied mathematics at the University of New Haven when this work was done. She graduated in May 2017 and she will be pursuing a master's degree in applied mathematics at the Indiana University of Pennsylvania in Fall 2017.
