Finite Rings in Which 1 is a Sum of Two Non-p-thPower Units
1976 ◽
Vol 28
(1)
◽
pp. 94-103
◽
LetRbe a finite ring with 1 and letR*denote the group of units ofR.Letpbe a prime number. In this paper we consider the question of whether there exista, binR*such thataandb arenon-p-th powers whose sum is 1. If such units a,bexisting, we say that R is an N (p)-ring. Of course ifpdoes not divide |R*|, the order of R*, then every element inR*is apthpower.
2009 ◽
Vol 79
(2)
◽
pp. 177-182
◽
1992 ◽
Vol 46
(3)
◽
pp. 353-359
◽
Keyword(s):
2005 ◽
Vol 2005
(4)
◽
pp. 579-592
Keyword(s):
2002 ◽
Vol 170
(2-3)
◽
pp. 175-183
◽
2011 ◽
Vol 54
(1)
◽
pp. 193-199
◽
Keyword(s):
1991 ◽
Vol 44
(3)
◽
pp. 353-355
◽