A Generalization of Group-Graded Modules
نویسندگان
چکیده
In this article, we generalize the concept of group-graded modules by introducing G-weak graded R-modules, which are R-modules a set G left coset representatives, where R is ring. Moreover, prove some properties these modules. Finally, results related to fields and their vector spaces deduced. Many considerable examples provided with more emphasis on symmetric group S3 dihedral D6, gives symmetries regular hexagon.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2022
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym14040835