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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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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oai:scielo:S0716-091720110002000102014-11-05On f-clean rings and f-clean elementsHandam,Ali H Full elements f-Clean rings Skew Hurwitz series 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.2 20112011-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000200010en10.4067/S0716-09172011000200010 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Full elements f-Clean rings Skew Hurwitz series |
| spellingShingle |
Full elements f-Clean rings Skew Hurwitz series Handam,Ali H On f-clean rings and f-clean elements |
| description |
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. |
| author |
Handam,Ali H |
| author_facet |
Handam,Ali H |
| author_sort |
Handam,Ali H |
| title |
On f-clean rings and f-clean elements |
| title_short |
On f-clean rings and f-clean elements |
| title_full |
On f-clean rings and f-clean elements |
| title_fullStr |
On f-clean rings and f-clean elements |
| title_full_unstemmed |
On f-clean rings and f-clean elements |
| title_sort |
on f-clean rings and f-clean elements |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2011 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000200010 |
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AT handamalih onfcleanringsandfcleanelements |
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