@article{Article_65,

title = {Principally Supplemented Semimodules},

journal = {Communications in Combinatorics, Cryptography & Computer Science},

volume = {2023},

issue = {2},

issn = { 2783-5456 },

year = {2023},

url = {http://cccs.sgh.ac.ir/Articles/2023/issue 2/2-5-PrincipallySupplementedSemimodules.pdf},

author = {Ahmed H. Alwan},

keywords = {Supplemented semimodules, Lifting semimodules, Principally supplemented semimodules, Principally lifting semimodules, Semiperfect semimodules.},

abstract = {In this work, principally supplemented semimodules are defined which generalize supplemented semimodules. Some properties of principally supplemented semimodules are investigated. We show that if A = A1 ⊕A2 is duo semimodule with A1 and A2 are principally supplemented semimodules, then A is principally supplemented. It is also proved that if A is an indecomposable semimodule, then A is principally supplemented semimodule if and only if A is principally lifting semimodule.}

};