L-Hollow modules

  • Thaer Z. Khlaif
  • Nada K. Abdullah

Abstract

To consider R is a commutative ring with unity,  be a nonzero unitary left   R-module,  is known hollow module if each proper submodule of  is small.  L-hollow module is a strong form of hollow module, where an R-module  is known L-hollow module if  has a unique maximal submodule which contains each small submodules. The current study deals with this class of modules and give several fundamental properties  related with this concept.


 


http://dx.doi.org/10.25130/tjps.24.2019.136

Published
Dec 22, 2019
How to Cite
KHLAIF, Thaer Z.; ABDULLAH, Nada K.. L-Hollow modules. Tikrit Journal of Pure Science, [S.l.], v. 24, n. 7, p. 104-109, dec. 2019. ISSN 2415-1726. Available at: <http://tjps.tu.edu.iq/index.php/j/article/view/919>. Date accessed: 22 sep. 2021. doi: http://dx.doi.org/10.25130/j.v24i7.919.
Section
Articles