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On Regular Rings [PDF]

open access: yesProceedings of the National Academy of Sciences, 1936
openaire   +5 more sources

On n-Weakly Regular Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2012
As a generalization of right weakly regular rings, we introduce the notion of right n-weakly regular rings, i.e. for all aN(R), aaRaR. In this paper, first  give  various properties of right n-weakly regular rings.
Raida Mahammod, Mohammed Al-Neimi
doaj   +1 more source

ON -REGULAR RINGS [PDF]

open access: yesمجلة التربية والعلم, 2006
The main goal of work is to introduce and study a new type of regular rings called - regular rings. That is, a ring R is said to be - regular if for every aR there exists bR and a positive integer n≠1 such that a=abna.
SANHAN M. SALIH, ABDUL AALI J. MOHAMMAD
doaj   +1 more source

MGP and EGP Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2010
The purpose of this paper is to study the rings in which every maximal (essential) right ideal is a left GP- ideal. Such rings will be called right MGP- rings (EGP- rings).
Raida Mahmood, Shahla Khalil
doaj   +1 more source

On Sπ Weakly Regular Rings, II [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2010
The main purpose of this paper is to study right(left) Weakly regular rings. also we give some properties of Weakly regular rings, and the connection between such rings and CS-rings, MGP-rings and SSGP-rings.
Shahla Khalil
doaj   +1 more source

On Weakly Regular Rings and SSF-rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2006
In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z
Raida Mahmood
doaj   +1 more source

On sπ-Weakly Regular Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2008
A ring R is said to be right(left) sp-weakly regular if for each a Î R and a positive integer n,  aΠ aR aR (aÎ R aR a). In this paper, we continue to study sp-weakly regular rings due to R. D. Mahmood and A. M. Abdul-Jabbar [8].
Raida Mahmood, Abdullah Abdul-Jabbar
doaj   +1 more source

A Generalization of Von Neumann Regular Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
In this paper, we introduce a new ring which is a generalization of Von Neumann  regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular ...
Adil Jabbar
doaj   +1 more source

On ERT and MERT-Rings [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2004
The main purpose of this paper is to study ERT and MERT rings, in order to study the connection between such rings and II-regular rings.
Zubayda Ibraheem
doaj   +1 more source

Comparison of symbolic and ordinary powers of ideals [PDF]

open access: yes, 2002
In this paper we generalize the theorem of Ein-Lazarsfeld-Smith (concerning the behavior of symbolic powers of prime ideals in regular rings finitely generated over a field of characteristic 0) to arbitrary regular rings containing a field.
Hochster, Melvin, Huneke, Craig
core   +3 more sources

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