Geodesic
Semigroup-graded rings with finite support
Glasgow mathematical journal, Tome 38 (1996) no. 1, pp. 11-18

Voir la notice de l'article provenant de la source Cambridge University Press

Let S be a semigroup and let be an S-graded ring. Rs = 0 for all but finitely many elements s ∈ S1, then R is said to have finite support. In this paper we concern ourselves with the question of whether a graded ring R with finite support inherits a given ring theoretic property from the homogeneous subrings Re corresponding to idempotent semigroup elements e. 
Clase, M. V.; Jespers, E.; Río, A. Del. Semigroup-graded rings with finite support. Glasgow mathematical journal, Tome 38 (1996) no. 1, pp. 11-18. doi: 10.1017/S0017089500031190
@article{10_1017_S0017089500031190,
     author = {Clase, M. V. and Jespers, E. and R{\'\i}o, A. Del},
     title = {Semigroup-graded rings with finite support},
     journal = {Glasgow mathematical journal},
     pages = {11--18},
     year = {1996},
     volume = {38},
     number = {1},
     doi = {10.1017/S0017089500031190},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031190/}
}
TY  - JOUR
AU  - Clase, M. V.
AU  - Jespers, E.
AU  - Río, A. Del
TI  - Semigroup-graded rings with finite support
JO  - Glasgow mathematical journal
PY  - 1996
SP  - 11
EP  - 18
VL  - 38
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031190/
DO  - 10.1017/S0017089500031190
ID  - 10_1017_S0017089500031190
ER  - 
%0 Journal Article
%A Clase, M. V.
%A Jespers, E.
%A Río, A. Del
%T Semigroup-graded rings with finite support
%J Glasgow mathematical journal
%D 1996
%P 11-18
%V 38
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500031190/
%R 10.1017/S0017089500031190
%F 10_1017_S0017089500031190

[1] 1.Beattie, M. and Jespers, E., On perfect graded rings, Comm. Algebra 19 (1991), 2363–2371. Google Scholar | DOI

[2] 2.Clase, M. V., Semigroup graded rings, Ph.D. thesis, Memorial University of Newfoundland (1993). Google Scholar

[3] 3.Clase, M. V. and Jespers, E., Perfectness of rings graded by finite semigroups, Bull. Soc.Math. Bel. Sir. A 45 (1993), 93–102. Google Scholar

[4] 4.Clase, M. V. and Jespers, E., On the Jacobson radical of semigroup graded rings, J. Algebra 169 (1994), 79–97. Google Scholar | DOI

[5] 5.Clifford, A. H. and Preston, G. B., The algebraic theory of semigroups, two volumes (American Mathematical Society, 1961). Google Scholar

[6] 6.Cohen, M. and Rowen, L. H., Group graded rings, Comm. Algebra 11 (1983), 1253–1270. Google Scholar | DOI

[7] 7.Dăscălescu, S., Năstăsescu, C., Rio, A. del, and Oystaeyen, F. Van, Gradings of finite support. Applications to injective objects, J. Pure Appl. Algebra, to appear. Google Scholar

[8] 8.Higman, G., Finitely presented infinite simple groups, Notes on Pure Mathematics, vol. 8, I.A. S. Australian National University, (1974). Google Scholar

[9] 9.Jaegermann, M. and Sands, A. D., On normal radicals, N-radicals, and A-radicals, J.Algebra 5O (1978), 337–349. Google Scholar | DOI

[10] 10.Jespers, E. and Oknińnski, J., Descending chain conditions and graded rings, J. Algebra, to appear. Google Scholar

[11] 11.Kelarev, A. V., On semigroup graded PI-algebras, Semigroup Forum 47 (1993), 294–298. Google Scholar | DOI

[12] 12.Menini, C., Finitely graded rings, Morita duality and self-injectivity, Comm. Algebra 15 (1987), 1779–1797. Google Scholar | DOI

[13] 13.Menini, C. and Năastăasescu, C., gr-simple modules and gr-Jacobson radical. Applications, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 34 (82) (1990), 25–36. Google Scholar

[14] 14.Menini, C. and Năastăasescu, C., gr-simple modules and gr-Jacobson radical. Applications II, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 34 (82) (1990), 125–133. Google Scholar

[15] 15.Năstăsescu, C., Some constructions over graded rings: applications, J. Algebra 120 (1989), 119–138. Google Scholar | DOI

[16] 16.Passman, D. S., Infinite crossed products (Academic Press, 1989). Google Scholar

[17] 17.Rowen, L. H., General polynomial identities. II, J. Algebra 38 (1976), 380–392. Google Scholar | DOI

[18] 18.Watters, J. F., Polynomial extensions of Jacobson rings, J. Algebra 36 (1975), 302–308. Google Scholar | DOI

Cité par Sources :