Ekuivalensi Idempoten Pada Ring Rickart dan Ring Baer

Authors

  • Titik Suparwati Universitas Cenderawasih

DOI:

https://doi.org/10.31957/sains.v16i1.137

Abstract

The research aims at identifying the characteristics of Rickart Rings and Baer Rings and to analyse relation between both of them. Moreover, properties in Idempotents Equivalence on Rickart Rings and Baer Rings will be proved.This research is performed by studying definisons and theoerems due to Rickart Rings and Baer Rings.

The result shows that every Baer Rings is Rickart Ring and Rickart Ring wich satisfies that R the set of idempotent-generated principal right ideals is a complete lattice is Baer Rings. The properties of Idempotents Equivalence on Rickart Ring and Baer Rings has been proved.    

 Keywords : Rickart Rings, Baer Rings, and Equivalence of Idempotent

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Author Biography

Titik Suparwati, Universitas Cenderawasih

Matematika

References

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Fraleigh, J.B, A first Course in Abstract Algebra, 6th edition, 2000.

Goodearl, K.R, Von Neumann Regular Rings, Pitman, London, 1979.

Maeda, S, On the Laticce of projections of a Baer Ring , J.Sci.Hiroshima, Univ.Ser.A22, 1958.

Kaplansky, Rings of Operators , Benjamin, New York, 1968.

____________, The Centre of a Corner of a Ring, J.Algebra 71, 1981.

____________, On the Ring whose principal right ideal generated by idempotents form a Lattice , J.Sci.Hiroshima, Univ.Ser.A24, 1960.

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Published

2018-05-14

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Articles