TITLE

# On the regular elements in Zn

AUTHOR(S)
Alkam, Osama; Osba, Emad Abu
PUB. DATE
March 2008
SOURCE
Turkish Journal of Mathematics;2008, Vol. 32 Issue 1, p31
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
All rings are assumed to be finite commutative with identity element. An element a âˆŠ R is called a regular element if there exists b âˆŠ R such that a = a2b, the element b is called a von Neumann inverse for a. A characterization is given for regular elements and their inverses in â„¤n, the ringo f integers modulo n. The arithmetic function V (n), which counts the regular elements in â„¤n is studied. The relations between V (n) and Euler's phi-function Ï†(n) are explored.
ACCESSION #
31309227

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