Affiliation:
1. School of Mathematical Science, Yangzhou University
2. Yancheng Institute of Technology
Abstract
In this paper, we first show that the quotient ring Z[x]/(x2 + x) is an
involution-ring with the involution ? given by (a1 +a2x)* = a1 ?a2 ?a2x,
where a1, a2 ? Z. Then, we determine explicitly all invertible elements,
regular elements, MP-inverses, group invertible elements, EP elements and
SEP elements of Z[x]/(x2 + x). Furthermore, we give a new characterization
for Abel rings.
Publisher
National Library of Serbia