p-Clean and strongly p-clean rings

p-Clean and strongly p-clean rings

In this paper, π-regular (resp. strongly π-regular) and idempotent elements in a ring is used to define π-clean (resp. strongly π-clean) rings. A ring is called π-clean (resp. strongly π-clean) if each of its elements is the sum of a π-regular (resp. strongly π-regular) and an idempotent element. Th...

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Veröffentlicht in:Measurement : journal of the International Measurement Confederation 2017-10, Vol.109, p.74
Hauptverfasser: Sabet, SHA Safari, Farmani, M, Karami, M
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Geometry
Graph theory
Number theory
Rings (mathematics)
Topology
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Zusammenfassung:In this paper, π-regular (resp. strongly π-regular) and idempotent elements in a ring is used to define π-clean (resp. strongly π-clean) rings. A ring is called π-clean (resp. strongly π-clean) if each of its elements is the sum of a π-regular (resp. strongly π-regular) and an idempotent element. The purpose of this research is to give some results on π-clean and strongly π-clean rings and study π-clean and strongly π-clean group rings. Also, this paper is involved with investigating F2C2 as a social group and measuring influence a member of it’s rather than others.
ISSN:0263-2241
1873-412X