Hamza Hakmi, Karam Hakmi

Rings Relative to Right Ideal

Regularity and Cleanness

• Broschiertes Buch

Produktbeschreibung

This book is an introductory text to the theory of rings relative to right Ideal which introduced by V. A. Andrunakievich and Yu. M. Ryabukhin. Later this concept was extended to regular ring relative to right ideal as generalization of (Von Neumann) regular rings. In our text book we continue the study of rings relative to right ideal from a new point of view that we study in details the nil-potent and idempotent elements relative to right ideal, in addition to the annihilator of elements relative to right ideal. Furthermore, we study some of classical concepts in rings and the relationship of this concept relative to right ideal in matrices ring. Also, we study local and clean rings relative to right ideal. We proved that a ring R is local if and only if every lower (upper) triangular matrix in M2(R) has a right inverse relative to some proper right ideal in M2(R). Also, We obtain the relationship between the local ring and the ring lower (upper) triangular matrix in M2(R) relative to some right ideal in M2(R).

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 240
• Erscheinungstermin: 11. Februar 2021
• Englisch
• Abmessung: 220mm x 150mm x 15mm
• Gewicht: 375g
• ISBN-13: 9786203410389
• ISBN-10: 6203410381
• Artikelnr.: 61300485

Autorenporträt

Hamza Hakmi studied mathematics at Aleppo University (Syria). He obtained a Ph.D. degree in mathematics (Theory of rings) at Moscow State University. He is a teacher in Damascus University from 1994. Hamza is the author of numerous research papers. His interests including ring theory and group theory.