Some properties of Associate and Presimplifiable rings

Manal GHANEM

Makale detayları

Some properties of Associate and Presimplifiable rings

Yazarlar:

Manal GHANEM

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.333-340

Belge Tipi:

Makale

Yayın Tarihi:

1/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000747996

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

In this paper we study some properties of associate and  presimplifiable rings.  We give a characterization of the associate  (resp., domainlike) pullback P of R1 \rightarrow{R3}  \leftarrow{R2}, where R1 and R2 are two presimplifiable (resp.,  domainlike) rings.  We prove that R is presimplifiable ring if and  only if the factor ring R/{nil(R)} is presimplifiable and the ideal  nil(R) is presimplifiable.  Then we investigate the associate and  presimplifiable property of the dual rings {R[x]/\langle{x2}\rangle}  and its modules through the base ring R and its modules.

 

In this paper we study some properties of associate and  presimplifiable rings.  We give a characterization of the associate  (resp., domainlike) pullback P of R1 \rightarrow{R3}  \leftarrow{R2}, where R1 and R2 are two presimplifiable (resp.,  domainlike) rings.  We prove that R is presimplifiable ring if and  only if the factor ring R/{nil(R)} is presimplifiable and the ideal  nil(R) is presimplifiable.  Then we investigate the associate and  presimplifiable property of the dual rings {R[x]/\langle{x2}\rangle}  and its modules through the base ring R and its modules.

Makale detayları

Some properties of Associate and Presimplifiable rings

Yazarlar:

Manal GHANEM

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.333-340

Belge Tipi:

Makale

Yayın Tarihi:

1/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000747996

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Associate ring

presimplifiable ring

domainlike

pullback and dual ring

Sayı

Makale detayları

Some properties of Associate and Presimplifiable rings

Yazarlar: Manal GHANEM

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.333-340

Belge Tipi: Makale

Yayın Tarihi: 1/2011

Belge Dili: Türkçe

Document ID (Org No.): 2000747996

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Associate ring

presimplifiable ring

domainlike

pullback and dual ring

Sayı

Yazarlar:

Manal GHANEM

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.333-340

Belge Tipi:

Makale

Yayın Tarihi:

1/2011

Belge Dili:

Türkçe

Document ID (Org No.):

2000747996

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098