CS-modules and annihilator conditions
| Autor: | Mahmoud Ahmed Kamal, Amany M. Menshawy |
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| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 50, Pp 3195-3202 (2003) |
| ISSN: | 1687-0425 0161-1712 |
| DOI: | 10.1155/s0161171203206219 |
| Popis: | We studyS−R-bimodulesSMRwith the annihilator conditionS=lS(A)+lS(B)for any closed submoduleA, and a complementBofA, inMR. Such annihilator condition has a direct connection with the CS-condition forMR. We make use of this to give a new characterization of CS-modules. BimodulesSMRfor whichrMlS(A)=A(for every closed submoduleAofMR) are also dealt with. Such modules are calledW∗-modules. We give the extra added annihilator conditions toW∗-modules to be equivalent to the continuous (quasicontinuous) modules. |
| Databáze: | OpenAIRE |
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