On graded \(I_e\)-prime submodules of graded modules over graded commutative rings. (English) Zbl 1493.13001
The reviewer et al. [J. Algebra Relat. Top. 4, No. 2, 41–47 (2016; Zbl 1355.13003); I. Akray et al., “Graded \(I\)-prime submodules”, J. Algebr. Syst. 10, No. 2, 225–243 (2023)] and [S. E. Atani, Int. Math. Forum 1, No. 1–4, 61–66 (2006; Zbl 1145.13303)] defined \(I\)-prime ideals and \(I\)-prime submodules as a generalizations of prime ideals and prime submodules in usual rings, usual modules and in graded rings and graded modules too.
Separately, the authors of this paper define \(I\)-primeness in graded modules and give some properties and characterizations. Also, they study such generalizations in composite and localized modules.
Separately, the authors of this paper define \(I\)-primeness in graded modules and give some properties and characterizations. Also, they study such generalizations in composite and localized modules.
Reviewer: Ismael Akray (Soran)
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