E-free objects inE-varieties of inverse rings |
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Authors: | Jean Oesmer Loyola |
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Institution: | 1. Department of Mathematics, Monash University, 3168, Clayton, Victoria, Australia
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Abstract: | We show that for any regular ring (R, +, -), the following conditions are equivalent: - (R, -) is inverse.
- (R, -) isE-solid.
- (R, -) is locally inverse.
- (R, -) is locallyE-solid.
We also show that there is ane-free object in eache-variety of inverse rings. |
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Keywords: | |
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