A A Principally Radg-Lifting Modules
DOI:
https://doi.org/10.31642/JoKMC/2018/100117Keywords:
Pricipally semi simple,, Principally 〖Rad〗_g-lifting, , principally g-lifting, principally generalized hollowAbstract
In this article we present a new class of modules which is named as a principally -lifting modules. This class termed by Principally -lifting in this work which defined as, a module is called Principally -lifting if for every cyclic submodule of with , there is a decomposition such that and is g-small in . Thus, a ring is called Principally -lifting if it is a principally -lifting as -module. We determined it is structure. Several characterizations, properties, and instances are described of these modules'.
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References
A. Tuganbaev, Semidistributive modules and rings, Kluwer Academics Publishers, Dordrecht (1998). DOI: https://doi.org/10.1007/978-94-011-5086-6
F. Kasch, Modules and rings module, 1982.
D. X. Zhou, and X.R. Zhang, small-essential submodule and morita duality, South-east Asian Bull. Math. 35(2011) 1051-1062.
T.Y. Ghawi, On a class of g-lifting modules, Journal of Discrete Mathematical Sciences & Cryptography , 24 (6)(2021), 1857-1872. DOI: https://doi.org/10.1080/09720529.2021.1961904
H. K. Marhoon, Some generalizations of monoform modules, Ms.C Thesis, Univ. of Baghdad, (2014).
R. Wisbauer, Foundations of module and ring theory, Gordon and Breach, Reading, (1991).
B. Kosar, C. Nebiyev, and N. Sokmez, G-supplemented modules, Ukrainian mathematical journal 67(6)(2015), 861-864. DOI: https://doi.org/10.1007/s11253-015-1127-8
B. Kosar, Nebiyev, C., and Pekin, A., A generalization of g-supplemented modules, Miskolc Mathematical Notes, 20(1)(2019), 345-352. DOI: https://doi.org/10.18514/MMN.2019.2586
R. N. Mirza and T. Y. Ghawi, Radg-lifting modules, submitted.
T.Y. Ghawi, Some generalizations of g-lifting modules, Quasigroups and Related Systems, 2022, to appear.
L. V. Thuyet, Tin, P. H., Some characterizations of modules via essentially small submodules, Kyungpook Math. J. 56, 1069-1083(2016). DOI: https://doi.org/10.5666/KMJ.2016.56.4.1069
M. M. Obaid, Principally g-Supplemented modules and some related concepts, Ms.C Thesis, Univ. of Al Qadisya, (2022).
N. M. Kamil, Strongly generalized ⨁-radical supplemented modules and some generalizations,Ms.C Thesis, Univ. of Al Qadisya, (2022).
N. M. Kamil and T. Y. Ghawi, Strongly generalized ⊕-radical supplemented modules, Journal of Discrete Mathematical Sciences & Cryptography, to appear.
A. C. Ozcan, A. Harmanci and P. F. Smith, Duo modules, Glasgow Math. J., 48(3) (2006), 533-545. DOI: https://doi.org/10.1017/S0017089506003260
B. Ungor, S. Halicioglu and A. Harmancı, On a class of
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