TY - JOUR ID - 668 TI - Uniformly classical quasi-primary submodules JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Naderi, M.H. AD - University of Qom Y1 - 2015 PY - 2015 VL - 2 IS - 1 SP - 35 EP - 47 KW - Classical quasi-primary KW - Uniformly classical quasi-primary DO - N2 - In this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. Several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. Then we investigate for a ring $R$, when any finite intersection of (uniformly) primary submodules of any $R$-module is a (uniformly) classical quasi-primary submodule. Furthermore, the behavior of classical quasi-primary and uniformly classical quasi-primary submodules under localizations are studied. Also, we investigate the existence of (minimal) primary submodules containing classical quasi-primary submodules. UR - https://as.yazd.ac.ir/article_668.html L1 - https://as.yazd.ac.ir/article_668_3985baca23a24ea768e39fc781fa4b2c.pdf ER -