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E-Associative Rings

Published online by Cambridge University Press:  20 November 2018

Shalom Feigelstock
Shalom Feigelstock*
Affiliation:
Bar-Ilan University Ramat-Gan Israel
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Abstract

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A ring R is E-associative if φ(xy) = φ(x)y for all endomorphisms φ of the additive group of R, and all x,y ∊ R. Unital E-associative rings are E-rings. The structure of the torsion ideal of an E-associative ring is described completely. The E-associative rings with completely decomposable torsion free additive groups are also classified. Conditions under which E-associative rings are E-rings, and other miscellaneous results are obtained.

Keywords

20K99

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 2 , 01 June 1993, pp. 147 - 153
Copyright
Copyright © Canadian Mathematical Society 1993

References

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