Rickart and Dual Rickart Objects in Abelian Categories |
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| Authors: | Septimiu Crivei Arda Kör |
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| Affiliation: | 1.Faculty of Mathematics and Computer Science,Babe?-Bolyai University,Cluj-Napoca,Romania;2.Department of Mathematics,Gebze Technical University,Gebze-Kocaeli,Turkey |
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| Abstract: | We introduce and study relative Rickart objects and dual relative Rickart objects in abelian categories. We show how our theory may be employed in order to study relative regular objects and (dual) relative Baer objects in abelian categories. We also give applications to module and comodule categories. |
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