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On modules whose closed M-cyclic submodules are summands

dc.contributor.authorGupta A.J.; Maurya S.K.
dc.date.accessioned2025-05-23T11:16:43Z
dc.description.abstractA module M whose closed M-cyclic submodules are direct summands is called a CMS module. A CMS module is a nontrivial generalization of a CS module (or an extending module). In this paper, we study more properties of CMS modules and provide a condition under which a CMS module becomes a CS module. Further, we show that the direct sum of two CMS modules is CMS and characterize Noetherian U-rings with the help of CMS modules. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.
dc.identifier.doihttps://doi.org/10.1515/9783110785807-008
dc.identifier.urihttp://172.23.0.11:4000/handle/123456789/6610
dc.relation.ispartofseriesAdvances in Pure and Applied Algebra: Proceedings of the CONIAPS XXVII International Conference 2021
dc.titleOn modules whose closed M-cyclic submodules are summands

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