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Split Subdirect Products and Piecewise Domains

Published online by Cambridge University Press:  20 November 2018

John Fuelberth  and
James Kuzmanovich
John Fuelberth
Affiliation:
Wake Forest University, Winston-Salem, North Carolina
James Kuzmanovich
Affiliation:
University of Northern Colorado, Greeley, Colorado
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Throughout this paper all rings will have unity and all modules will be unital.

If X ⊂ R, then r(X) (respectively, l(X)) denotes the right (left) annihilator of x.

An element d of R is called right (left) regular if r(d) = 0 (1(d) = 0). An element which is both right and left regular is called regular.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 2 , 01 April 1976 , pp. 408 - 419
Copyright
Copyright © Canadian Mathematical Society 1976

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