On Semilocal Rings And Finitely Generated Projective Modules
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15 - 22
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Abstract
We establish the equivalence between the existence of a cyclic projective right C-module P such that P/J (BP) is semisimple and BP is finitely generated (B = End (Pc)) and the existence of an idempotent element e in c such that trace (Pc) is finitely generated (and equals CeC) and C/S is semisimple where S is the intersection of all maximal left ideals of C not containing the trace ideal of Pc.
Abdel-Mohsin, A. (1992). On Semilocal Rings And Finitely Generated Projective Modules. An-Najah University Journal for Research - A (Natural Sciences), 7(1), 15–22. https://doi.org/10.35552/anujr.a.7.1.433
[1]A. Abdel-Mohsin, “On Semilocal Rings And Finitely Generated Projective Modules,” An-Najah University Journal for Research - A (Natural Sciences), vol. 7, no. 1, pp. 15–22, Jan. 1992, doi: 10.35552/anujr.a.7.1.433.
Abdel-Mohsin, Ali. “On Semilocal Rings And Finitely Generated Projective Modules.” An-Najah University Journal for Research - A (Natural Sciences), vol. 7, no. 1, Jan. 1992, pp. 15–22. Crossref, https://doi.org/10.35552/anujr.a.7.1.433.
1.Abdel-Mohsin A. On Semilocal Rings And Finitely Generated Projective Modules. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 1992 Jan;7(1):15–22. Available from: http://dx.doi.org/10.35552/anujr.a.7.1.433
Abdel-Mohsin, Ali. “On Semilocal Rings And Finitely Generated Projective Modules.” An-Najah University Journal for Research - A (Natural Sciences) 7, no. 1 (January 1992): 15–22. https://doi.org/10.35552/anujr.a.7.1.433.
On Semilocal Rings And Finitely Generated Projective Modules
المؤلفون:
معلومات المقال
15 - 22
الكلمات الإفتتاحية
الملخص
We establish the equivalence between the existence of a cyclic projective right C-module P such that P/J (BP) is semisimple and BP is finitely generated (B = End (Pc)) and the existence of an idempotent element e in c such that trace (Pc) is finitely generated (and equals CeC) and C/S is semisimple where S is the intersection of all maximal left ideals of C not containing the trace ideal of Pc.
Abdel-Mohsin, A. (1992). On Semilocal Rings And Finitely Generated Projective Modules. An-Najah University Journal for Research - A (Natural Sciences), 7(1), 15–22. https://doi.org/10.35552/anujr.a.7.1.433
[1]A. Abdel-Mohsin, “On Semilocal Rings And Finitely Generated Projective Modules,” An-Najah University Journal for Research - A (Natural Sciences), vol. 7, no. 1, pp. 15–22, Jan. 1992, doi: 10.35552/anujr.a.7.1.433.
Abdel-Mohsin, Ali. “On Semilocal Rings And Finitely Generated Projective Modules.” An-Najah University Journal for Research - A (Natural Sciences), vol. 7, no. 1, Jan. 1992, pp. 15–22. Crossref, https://doi.org/10.35552/anujr.a.7.1.433.
1.Abdel-Mohsin A. On Semilocal Rings And Finitely Generated Projective Modules. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 1992 Jan;7(1):15–22. Available from: http://dx.doi.org/10.35552/anujr.a.7.1.433
Abdel-Mohsin, Ali. “On Semilocal Rings And Finitely Generated Projective Modules.” An-Najah University Journal for Research - A (Natural Sciences) 7, no. 1 (January 1992): 15–22. https://doi.org/10.35552/anujr.a.7.1.433.
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