A note on primary-like submodules of multiplication modules

Author(s):

H. Fazaeli Moghimi * , F. Rashedi , M. Samiei

Abstract:
Primary-like and weakly primary-like submodules are two new generalizations of primary ideals from rings to modules. In fact, the class of primary-like submodules of a module lie between primary submodules and weakly primary-like submodules properly. In this note, we show that these three classes coincide when their elements are submodules of a multiplication module and satisfy the primeful property.
Keywords:

Primary , Primary , like submodule , like submodule , weakly primary , like submodule , primeful property , weakly primary , multiplication module

Language:
English
Published:
Journal of Algebra and Related Topics, Volume:2 Issue: 2, Autumn 2014
Pages:
37 to 41
https://www.magiran.com/p1616350