TY - JOUR
AU - abdulkhaliq, Ali Hasan
AU - Alhossaini, Asaad
PY - 2023/08/31
Y2 - 2024/03/03
TI - On distributive semimodules
JF - Journal of Kufa for Mathematics and Computer
JA - Jour. Kufa Math. Comp.
VL - 10
IS - 2
SE -
DO - 10.31642/JoKMC/2018/100209
UR - https://journal.uokufa.edu.iq/index.php/jkmc/article/view/11868
SP - 57-63
AB - <p><em>This work considers the construction of the concept of distributive</em><em> property for semimodules. Some characterizations of this property, with some examples are given. Some conditions on semiring or semimodules (like subtractive, semisubtractive, cancellative, and k-cyclic) are required to obtain interesting results. The main results are: Any subsemimodule and factor semimodule of a distributive semimodule is distributive. Moreover, weakly distributive, is also, introduced and investigated. It is found that the semimodule is distributive if and only if each subsemimodule is weak distributive. Taking advantage of the supplemented concept to find some properties of distributive semimodule. Finally, the summand sum and summand intersection properties for distributive semimodules with some conditions are valid.</em></p>
ER -