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Related papers: The M-Principal Graph of a Commutative Ring

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This paper has been withdrawn by the author.

Number Theory · Mathematics 2009-06-19 Yuqing Zhang

This paper has been withdrawn by the author due to a gap in the proof of the main result.

Functional Analysis · Mathematics 2007-05-23 Irina Kmit

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

Mathematical Physics · Physics 2007-07-11 John Fredsted

This paper has been withdrawn by the author, due to a crucial error in page 5.

General Mathematics · Mathematics 2009-02-06 Julio Alcantara-Bode

This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

This paper has been withdrawn by the author due to the incorrect argument for the security.

Quantum Physics · Physics 2008-05-26 Yibo Zhao

This paper has been withdrawn by the author due to a crucial mistakes.

Mathematical Physics · Physics 2007-08-20 Saifullah

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

Geometric Topology · Mathematics 2009-01-26 Chan-Ho Suh

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Functional Analysis · Mathematics 2011-09-27 G. Sankara Raju Kosuru , P. Veeramani

This paper has been withdrawn by the author, due to possible counter-examples.

Discrete Mathematics · Computer Science 2008-01-19 Omar Kettani

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

Information Theory · Computer Science 2007-10-29 Zhengbang Zha , XueLi Wang

This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.

Group Theory · Mathematics 2009-11-25 Alex Wright

This paper has been withdrawn by the authors due to some technical problems in the paper.

Chemical Physics · Physics 2008-04-18 Zekan Qian , Rui Li , Xingyu Zhao , Shimin Hou , Stefano Sanvito

This paper has been withdrawn by the authors, since the reference citation were not appropriately arranged.

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Ping Zhang , Qi-Kun Xue , X. C. Xie

This paper has been withdrawn by the author because the conclusions reached in it are incorrect.

Astrophysics · Physics 2007-05-23 M. Chaves

This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Probability · Mathematics 2008-09-15 Qingyang Guan

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

Number Theory · Mathematics 2007-05-23 Tomohiro Yamada

The paper has been withdrawn by change of content and some errors in the examples.

Algebraic Geometry · Mathematics 2007-05-23 Abel Castorena

This paper has been withdrawn by the authors due to an error.

Complex Variables · Mathematics 2007-05-23 Miran Cerne , Manuel Flores

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

Number Theory · Mathematics 2007-09-04 Giovanni Coppola
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