Free koszul homology and regular ideals in non-noetherian rings |
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| Authors: | Javier Majadas |
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| Institution: | Departamento de álgebra, Facultad de Matemáticas , Universidad de Santiago de Compostela , Santiago de Compostela, E-15771, Spain |
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| Abstract: | It is shown that every element in a one-sided unit-regular ring is the sum of an idempotent and a one-sided unit. Also we prove that every element in a regular ring satisfying related comparability is the sum of an idempotent and the product of two one-sided units. |
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| Keywords: | Idempotent One-sided unit One-sided unit-regular ring |
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