THE CARDINALITY OF AN ANNIHILATOR CLASS IN A VON NEUMANN REGULAR RING

John D. LAGRANGE

Makale detayları

THE CARDINALITY OF AN ANNIHILATOR CLASS IN A VON NEUMANN REGULAR RING

Yazarlar:

John D. LAGRANGE

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2008 Vol.4 Issue 4, pp.63-82

Belge Tipi:

Makale

Yayın Tarihi:

11/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000718420

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

One defines an equivalence relation on a commutative ring R by declaring elements r1, r2 ∈ R to be equivalent if and only if annR(r1) = annR(r2). If [r]R denotes the equivalence class of an element r ∈ R, then it is known that |[r]R| = |[r/1]T (R) |, where T(R) denotes the total quotient ring of R. In this paper, we investigate the extent to which a similar equality will hold when T(R) is replaced by Q(R), the complete ring of quotients of R. The results are applied to compare the zero-divisor graph of a reduced commutative ring to that of its complete ring of quotients.

Makale detayları

THE CARDINALITY OF AN ANNIHILATOR CLASS IN A VON NEUMANN REGULAR RING

Yazarlar: John D. LAGRANGE

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2008 Vol.4 Issue 4, pp.63-82

Belge Tipi: Makale

Yayın Tarihi: 11/2008

Belge Dili: Türkçe

Document ID (Org No.): 2000718420

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

John D. LAGRANGE

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2008 Vol.4 Issue 4, pp.63-82

Belge Tipi:

Makale

Yayın Tarihi:

11/2008

Belge Dili:

Türkçe

Document ID (Org No.):

2000718420

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048