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作者:Salah El Din S. Hussein
来源:[J].International Journal of Mathematics and Mathematical Sciences, 1999, Vol.22 (2), pp.411-415
摘要:In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R=⊕σ∈GRσ is a strongly G-graded ring and H⊲G, then the embedding i:R(H)↪R, where R(H)=⊕σ∈HRσ, is a Zariski...
作者:Salah El Din S. Hussein
来源:[J].International Journal of Mathematics and Mathematical Sciences, 1999, Vol.22 (2), pp.411
摘要:In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R=⊕σ∈GRσ is a strongly G-graded ring and H⊲G, then the embedding i:R(H...
作者:Salah El Din S. Hussein
来源:[J].International Journal of Mathematics and Mathematical Sciences, 1999, Vol.22 (2)
摘要:In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R = ⊕ σ ∈ G R σ is a strongly G -graded ring and H ⊲ G , then the embedding i : R ...
作者:Nasr A. Zeyada , Salah El Din S. Hussein , Amr K. Amin
来源:[J].Algebra Colloquium(IF 0.308), 2011, Vol.18 (3), pp.411-418
摘要:We introduce the concepts of almost-injective and rad-injective modules. Basic properties of these modules are given. Using these concepts, we provide some new characterizations of V-rings, semilocal rings and pseudo-Frobenius rings.
作者:Essam El Seidy , H. S. Diab , Salah El Din S. Hussein
来源:[J].Pure and Applied Mathematics Journal, 2015, Vol.4 (2)
摘要:In this paper we establish the relation between graded essential extensions of graded modules and injectivity of such modules. We relate the graded injective hull Egr (M) of a graded module M with the graded essential extensions of M. We round off by establishing necessary and su...

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