A contribution to the theory of prime modules

This thesis is aimed at generalizing notions of rings to modules. In par-ticular, notions of completely prime ideals, s-prime ideals, 2-primal rings and nilpotency of elements of rings are respectively generalized to completely prime submodules and classical completely prime submodules, s-prime subm...

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Bibliographic Details
Main Author:	Ssevviiri, David
Format:	Others
Language:	English
Published:	Nelson Mandela Metropolitan University 2013
Subjects:	Modules (Algebra) Radical theory Rings (Algebra)
Online Access:	http://hdl.handle.net/10948/d1019923

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spelling	ndltd-netd.ac.za-oai-union.ndltd.org-nmmu-vital-105102017-12-21T04:22:48ZA contribution to the theory of prime modulesSsevviiri, DavidModules (Algebra)Radical theoryRings (Algebra)This thesis is aimed at generalizing notions of rings to modules. In par-ticular, notions of completely prime ideals, s-prime ideals, 2-primal rings and nilpotency of elements of rings are respectively generalized to completely prime submodules and classical completely prime submodules, s-prime submodules, 2-primal modules and nilpotency of elements of modules. Properties and rad-icals that arise from each of these notions are studied.Nelson Mandela Metropolitan UniversityFaculty of Science2013ThesisDoctoralPhDviii, 126 leavespdfvital:10510http://hdl.handle.net/10948/d1019923EnglishNelson Mandela Metropolitan University
collection	NDLTD
language	English
format	Others
sources	NDLTD
topic	Modules (Algebra) Radical theory Rings (Algebra)
spellingShingle	Modules (Algebra) Radical theory Rings (Algebra) Ssevviiri, David A contribution to the theory of prime modules
description	This thesis is aimed at generalizing notions of rings to modules. In par-ticular, notions of completely prime ideals, s-prime ideals, 2-primal rings and nilpotency of elements of rings are respectively generalized to completely prime submodules and classical completely prime submodules, s-prime submodules, 2-primal modules and nilpotency of elements of modules. Properties and rad-icals that arise from each of these notions are studied.
author	Ssevviiri, David
author_facet	Ssevviiri, David
author_sort	Ssevviiri, David
title	A contribution to the theory of prime modules
title_short	A contribution to the theory of prime modules
title_full	A contribution to the theory of prime modules
title_fullStr	A contribution to the theory of prime modules
title_full_unstemmed	A contribution to the theory of prime modules
title_sort	contribution to the theory of prime modules
publisher	Nelson Mandela Metropolitan University
publishDate	2013
url	http://hdl.handle.net/10948/d1019923
work_keys_str_mv	AT ssevviiridavid acontributiontothetheoryofprimemodules AT ssevviiridavid contributiontothetheoryofprimemodules
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A contribution to the theory of prime modules

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