Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5767
Title: On w-local modules and Rad-supplemented modules
Authors: Büyükaşık, Engin
Tribak, Rachid
Keywords: Amply Rad-supplemented modules
Rad-supplemented modules
W-local modules
Issue Date: 2014
Publisher: Korean Mathematical Society
Source: Büyükaşık, E. and Tribak, R. (2014). On w-local modules and Rad-supplemented modules. Journal of the Korean Mathematical Society, 51(5), 971-985. doi:10.4134/JKMS.2014.51.5.971
Abstract: All modules considered in this note are over associative commutative rings with an identity element. We show that a w-local module M is Rad-supplemented if and only if M/P(M) is a local module, where P(M) is the sum of all radical submodules of M. We prove that w-local nonsmall submodules of a cyclic Rad-supplemented module are again Rad-supplemented. It is shown that commutative Noetherian rings over which every w-local Rad-supplemented module is supplemented are Artinian. We also prove that if a finitely generated Rad-supplemented module is cyclic or multiplication, then it is amply Rad-supplemented. We conclude the paper with a characterization of finitely generated amply Rad-supplemented left modules over any ring (not necessarily commutative).
URI: http://doi.org/10.4134/JKMS.2014.51.5.971
http://hdl.handle.net/11147/5767
ISSN: 0304-9914
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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