On the Homology Theory of Operator Algebras
We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation bet...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/368527 |
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| _version_ | 1832567306779099136 |
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| author | Alaa Hassan Noreldeen |
| author_facet | Alaa Hassan Noreldeen |
| author_sort | Alaa Hassan Noreldeen |
| collection | DOAJ |
| description | We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation between cyclic homology and relative cyclic homology of Banach algebra is deduced. |
| format | Article |
| id | doaj-art-55b4d6c028714393951f61d94bf77b01 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-55b4d6c028714393951f61d94bf77b012025-02-03T01:01:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/368527368527On the Homology Theory of Operator AlgebrasAlaa Hassan Noreldeen0Department of Math, Faculty of Science, Aswan University, Aswan 81528, EgyptWe investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation between cyclic homology and relative cyclic homology of Banach algebra is deduced.http://dx.doi.org/10.1155/2012/368527 |
| spellingShingle | Alaa Hassan Noreldeen On the Homology Theory of Operator Algebras International Journal of Mathematics and Mathematical Sciences |
| title | On the Homology Theory of Operator Algebras |
| title_full | On the Homology Theory of Operator Algebras |
| title_fullStr | On the Homology Theory of Operator Algebras |
| title_full_unstemmed | On the Homology Theory of Operator Algebras |
| title_short | On the Homology Theory of Operator Algebras |
| title_sort | on the homology theory of operator algebras |
| url | http://dx.doi.org/10.1155/2012/368527 |
| work_keys_str_mv | AT alaahassannoreldeen onthehomologytheoryofoperatoralgebras |