On the regular elements in Zn

Osama ALKAM

Makale detayları

On the regular elements in Zn

Yazarlar:

Osama ALKAM

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.31-39

Belge Tipi:

Makale

Yayın Tarihi:

12/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748363

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

All rings are assumed to be finite commutative with identity  element.  An element a \in R is called a regular element if there  exists b \in 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 Zn, the ring of integers modulo n.  The arithmetic  function V(n), which counts the regular elements in Zn is studied.   The relations between V(n) and Euler's phi-function j (n) are  explored.

 

All rings are assumed to be finite commutative with identity  element.  An element a \in R is called a regular element if there  exists b \in 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 Zn, the ring of integers modulo n.  The arithmetic  function V(n), which counts the regular elements in Zn is studied.   The relations between V(n) and Euler's phi-function j (n) are  explored.

Makale detayları

On the regular elements in Zn

Yazarlar:

Osama ALKAM

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.31-39

Belge Tipi:

Makale

Yayın Tarihi:

12/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748363

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Regular elements

Eular's phi-function

von Neumann regular rings

Sayı

Makale detayları

On the regular elements in Zn

Yazarlar: Osama ALKAM

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.31-39

Belge Tipi: Makale

Yayın Tarihi: 12/2007

Belge Dili: Türkçe

Document ID (Org No.): 2000748363

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Regular elements

Eular's phi-function

von Neumann regular rings

Sayı

Yazarlar:

Osama ALKAM

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2008 Vol.32 Issue 1, pp.31-39

Belge Tipi:

Makale

Yayın Tarihi:

12/2007

Belge Dili:

Türkçe

Document ID (Org No.):

2000748363

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098