A generalization of von neumann regular rings

Author

Jabbar, Adil K.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 6, Issue 2 (31 Aug. 2009), pp.197-210, 14 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2009-08-31

Country of Publication

Iraq

No. of Pages

14

Main Subjects

Mathematics

Abstract AR

في هذا البحث قدمنا تعريفا لحلقة جديدة و التي تكون تعميما للحلقات المنتظمة من النمط فون نويمان و سميناها الحلقات المنتظمة مركزيا.

و تمت البرهنة على خواص عديدة لهذه الحلقة و تمكنا من توسيع بعض خواص الحلقات المنتظمة لهذه الحلقات، و كذلك حددنا بعض الشروط التي عند توافرها تصبح الحلقات المنتظمة و الحلقات المنتظمة مركزياً حلقات متكافئة.

Abstract EN

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 rings.

Also we have determined some conditions under which regular and centrally regular rings are equivalent.

American Psychological Association (APA)

Jabbar, Adil K.. 2009. A generalization of von neumann regular rings. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 6, no. 2, pp.197-210.
https://search.emarefa.net/detail/BIM-332079

Modern Language Association (MLA)

Jabbar, Adil K.. A generalization of von neumann regular rings. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 6, no. 2 (2009), pp.197-210.
https://search.emarefa.net/detail/BIM-332079

American Medical Association (AMA)

Jabbar, Adil K.. A generalization of von neumann regular rings. al- Rafidain Journal of Computer Sciences and Mathematics. 2009. Vol. 6, no. 2, pp.197-210.
https://search.emarefa.net/detail/BIM-332079

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 210

Record ID

BIM-332079