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.
Fazaeli Moghimi, H. , Rashedi, F. and Samiei, M. (2014). A note on primary-like submodules of multiplication modules. Journal of Algebra and Related Topics, 2(2), 37-41.
MLA
Fazaeli Moghimi, H. , , Rashedi, F. , and Samiei, M. . "A note on primary-like submodules of multiplication modules", Journal of Algebra and Related Topics, 2, 2, 2014, 37-41.
HARVARD
Fazaeli Moghimi, H., Rashedi, F., Samiei, M. (2014). 'A note on primary-like submodules of multiplication modules', Journal of Algebra and Related Topics, 2(2), pp. 37-41.
CHICAGO
H. Fazaeli Moghimi , F. Rashedi and M. Samiei, "A note on primary-like submodules of multiplication modules," Journal of Algebra and Related Topics, 2 2 (2014): 37-41,
VANCOUVER
Fazaeli Moghimi, H., Rashedi, F., Samiei, M. A note on primary-like submodules of multiplication modules. Journal of Algebra and Related Topics, 2014; 2(2): 37-41.
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