On f-clean rings and f-clean elements
An associative ring R with identity is called f -clean ring if every element in R is the sum of an idempotent and a full element. In this paper, various basic properties of f -clean rings and f -clean elements are proved. Also, we give some new charaterizations of f -clean rings. In addition, we pro...
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| Autor principal: | |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000200010 |
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| Sumario: | An associative ring R with identity is called f -clean ring if every element in R is the sum of an idempotent and a full element. In this paper, various basic properties of f -clean rings and f -clean elements are proved. Also, we give some new charaterizations of f -clean rings. In addition, we prove that the ring of skew Hurwitz series T = (HR, σ) where Ï is an automorphism of R is f -clean if and only if R is f -clean. |
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