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A note on semiprime right Goldie rings |
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| Authors: | Phan Le Phan Dan |
| Institution: | 1. Department of Mathematics, Faculty of Science, Mahidol University, Center of Excellence in Mathematics, Bangkok, Thailand;2. Institute of International Education, Nguyen Tat Thanh University, Vietnam |
| Abstract: | It is shown that a ring R is semiprime right Goldie if and only if R is right nonsingular and every nonsingular right R-module M has a direct decomposition M = I⊕N, where I is injective and N is a reduced module such that N does not contain any extending submodule of infinite Goldie dimension. |
| Keywords: | Extending Goldie dimension injective nonsingular quasi-injective reduced semisimple right Goldie rings |