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On weak graded rings

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Abstract (2. Language): 
In this paper, we investigate some properties of weak graded rings that are rings graded by a set G of coset representatives for the left action of a subgroup H on a group X. Moreover, a graded rings by using the product H  G are also discussed. A detailed example is given.
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REFERENCES

References: 

[1] G. Abrams and C. Menini. Rings of endomorphisms of semigroup-graded modules.
Rocky Mountain J. Math., 26(2):375-406, (1996).
[2] M. M. Al-Shomrani. A construction of graded rings using a set of left coset repre-
sentatives. JP Journal of Algebra, Number Theory and Applications, 25(2):133-144,
(2012).
[3] M. M. Al-Shomrani and E. J. Beggs. Making nontrivially associated modular cate-
gories from nite groups. Int. J. Math. Math. Sci., 2004(42):2231-2264, (2004).
[4] E. J. Beggs. Making non-trivially associated tensor categories from left coset repre-
sentatives. J. Pure Appl. Algebra, 177(1):5-41, (2003).
[5] M. Cohen and S. Montgomery. Group-graded rings, smash product and group actions.
Trans. Amer. Math. Soc., 282(1):237-258, (1984).
[6] E. C. Dade. Group graded rings and modules. Math. Z., 174:241-262, (1980).
[7] S. Dascalescu, A. V. Kelarev and L. Van Wyk. Semigroup gradings of full matrix
rings. Comm. Algebra, 29(11):5023-5031, (2001).
REFERENCES 980
[8] R. Farnsteiner. Group-graded algebras, extensions of innitesimal groups, and appli-
cations. Transform. Groups, 14(1):127-162, (2009).
[9] J. L. Gomez Pardo and C. Nastasescu. Relative projectivity, graded Cliored theory
and applications. J. Algebra, 141(2):484-504, (1991).
[10] E. Jespers. Simple graded rings. Comm. Algebra, 21(7):2437-2444, (1993).
[11] G. Karpilovsky. The Jacobson radical of monoid-graded algebras. Tsukuba J. Math,
16(1):19-52, (1992).
[12] A. V. Kelarev. Applications of epigroups to graded ring theory. Semigroup Forum,
50(3):327-350, (1995).
[13] A. V. Kelarev. Semisimple rings graded by inverse semigroups. J. Algebra, 205:451-
459, (1998).
[14] C. Nastasescu and F. V. Oystaeyen. Methods of Graded Rings. Springer-Verlag Berlin
Heidelberg, New York, (2004).
[15] P. Nystedt and J. Oinert. Simple semigroup graded rings. J. Algebra Appl., 14(7):1-
10, (2015).

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