GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES | ||
| Journal of Algebraic Systems | ||
| مقاله 3، دوره 3، شماره 1، آذر 2015، صفحه 23-30 اصل مقاله (160.87 K) | ||
| نوع مقاله: Research Note | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2015.484 | ||
| نویسنده | ||
| A.R. Naghipour* | ||
| Department of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord, Iran. | ||
| چکیده | ||
| The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules. | ||
| کلیدواژهها | ||
| Generalized Principal Ideal Theorem؛ Prime submodule؛ Completely prime submodule | ||
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