On idempotents of a class of commutative rings |
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| Authors: | Fernanda D de Melo Hernández César A Hernández Melo Horacio Tapia-Recillas |
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| Institution: | 1. Departamento de Matemática, Universidade Estadual de Maringá, Maringá, Paraná, Brazil;2. fdmelo@uem.br;4. Departamento de Matemáticas, Universidad Autónoma Metropolitana-Unidad Iztapalapa, Ciudad de México, México |
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| Abstract: | AbstractIn the present work, a procedure for determining idempotents of a commutative ring having a sequence of ideals with certain properties is presented. As an application of this procedure, idempotent elements of various commutative rings are determined. Several examples are included illustrating the main results. |
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| Keywords: | Chain ring commutative ring group ring idempotent element nilpotent ideal |
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