TY - JOUR ID - 65 TI - A note on primary-like submodules of multiplication modules JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Fazaeli Moghimi, H. AU - Rashedi, F. AU - Samiei, M. AD - University of Birjand Y1 - 2014 PY - 2014 VL - 2 IS - 2 SP - 37 EP - 41 KW - Primary KW - Primary-like submodule KW - like submodule KW - weakly primary-like submodule KW - primeful property KW - weakly primary KW - multiplication module DO - N2 - 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. UR - https://jart.guilan.ac.ir/article_65.html L1 - https://jart.guilan.ac.ir/article_65_64dc07c17b067bd02a6bb19c1f10afab.pdf ER -