A note on n-clean group rings

• Autores: Angelina Y. M. Chin, Kiat Tat Qua
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 3-4, 2011, págs. 569-574
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4787
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• Resumen

  • Let R be an associative ring with identity. An element x 2 R is clean if x can be written as the sum of a unit and an idempotent in R. R is said to be clean if all of its elements are clean. Let n be a positive integer. An element x 2 R is n-clean if it can be written as the sum of an idempotent and n units in R. R is said to be n-clean if all of its elements are n-clean. In this paper we obtain conditions which are necessary or sufficient for a group ring to be n-clean.