A Certain Conditions on Some Rings Give P.P.Ring
Majid Mohammed Abed, Faisal Al-Sharqi, Saad H. Zail
Abstract
Abstract Many new results were obtained in this paper about P.P. ring. Semi-primitive ring R with (dcc) on principal-ideal P is always P.P.ring. Also, St-G-P.P. ring R is given to answer new question; is B-rings are P.P. ring. Also regular and Von Neumann regular rings are introduced to find a relationship between P.P. ring and these kind of the rings.
Topics & Concepts
Principal ideal ringRing (chemistry)Primitive ringIdeal (ethics)Von Neumann regular ringReduced ringBoolean ringSimple ringMathematicsGroup ringNoncommutative ringPure mathematicsCombinatoricsChemistryCommutative ringGroup (periodic table)LawPolitical scienceCommutative propertyOrganic chemistryRings, Modules, and AlgebrasAdvanced Topics in AlgebraAlgebraic structures and combinatorial models