TY - JOUR
TI - On alpha-prime and Weakly alpha-prime Submodules
PY - 2018/07/31
Y2 - 2024/06/17
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 11
IS - 3
LA - en
DO - 10.29020/nybg.ejpam.v11i3.3275
UR - https://doi.org/10.29020/nybg.ejpam.v11i3.3275
SP - 730-739
AB - We have introduced the notion of $\alpha$-prime and weakly $\alpha$-prime submodules as a generalization of prime submodules. Some basic properties of $\alpha$-prime and weakly $\alpha$-prime submodules are the extension of prime submodules. Finally, after introducing the notion of $\alpha$-prime submodules, we also define and study the concept of $\alpha$-prime ideals in a ring.
ER -