Graded generalized 2-absorbing submodules. (English) Zbl 1477.13003
Generalized 2-absorbing submodules of a module over a commutative ring were introduced by F. Farshadifar and H. Ansari-Toroghy [An. Ştiinţ. Univ. “Ovidius” Constanţa, Ser. Mat. 28, No. 1, 99–109 (2020; Zbl 1488.13034)]. In this paper, the authors consider the graded version. Several properties of this class of submodules are obtained. It is shown that for a graded multiplication module \(M\), every graded 2-absorbing \(R\)-submodule of \(M\) is grade 2-absorbing primary. Transfer of this property by graded morphism of modules is investigated.
Reviewer: Blas Torrecillas (Almería)
MSC:
13A02 | Graded rings |
Keywords:
graded 2-absorbing submodules; graded 2-absorbing primary submodules; graded prime submodulesCitations:
Zbl 1488.13034References:
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