References
- Andrunakievich, V. A., Ryabuhin, Y. M. (1962). Special modules and special radicals. Dokl. AN SSSR 147(6):1274–1277.
- Balaba, I. N. (2004). Special radicals of graded rings. Bul. Acad. Ştiinţe Mold. Mat. 44(1):26–33.
- Chadeyras, M. (1970). Essai d’une Théorie Noetherienne pour les Anneaux Commutatifs, dont la Graduation est aussi générale que Possible. Bull. de la S.M.F., Supplément, Mémoire, No. 22. Paris.
- Gardner, B. J., Wiegandt, R. (2004). Radical Theory of Rings. Pure and Applied Mathematics, Vol. 261. New York, Basel: Marcel Dekker.
- Halberstadt, E. (1970). Le Radical d’un Anneide régulier. C. R. Acad. Sci., Paris, Sér. A. 270:361–363.
- Halberstadt, E. (1971). Théorie artinienne homogène des anneaux gradués à grades non commutatifs réguliers. Ph.D. Thesis. University of Pierre and Marie Currie.
- Ilić-Georgijević, E. (2015). On graded Ω-groups. Filomat 29(10):2167–2183.
- Ilić-Georgijević, E. (2016). On graded Brown–McCoy radicals of graded rings. J. Algebra Appl. 15(8):16501437, 13.
- Jacobson, N. (1956). Structure of Rings. Colloquium Publications, Vol. 37. Providence, R. I.: American Mathematical Society.
- Kelarev, A. V. (1994). Combinatorial properties and homomorphisms of semigroups. Int. J. Algebra Comput. 4(3):443–450.
- Kelarev, A. V. (1995). On groupoid graded rings. J. Algebra 178:391–399.
- Kelarev, A. V. (2002). Ring Constructions and Applications. Series in Algebra, Vol. 9. New Jersey, London, Singapore, Hong Kong: World Scientific.
- Kelarev, A. V. Plant (1995). Bergman’s lemma for graded rings. Commun. Algebra 23(12):4613–4624.
- Krasner, M. (1944). Une généralisation de la notion de corps-corpoíde. Un corpoíde remarquable de la théorie des corps valués. C. R. Acad. Sci. 219:345–347.
- Krasner, M. (1980). Anneaux gradués généraux, Colloque d’Algébre Rennes, 209–308.
- Krasner, M., Vuković, M. (1987). Structures Paragraduées (Groupes, Anneaux, Modules). Queen’s Papers in Pure and Applied Mathematics. Vol. 77. Kingston, Ontario, Canada: Queen’s University.
- Lee, P.-H., Puczyłowski, E. R. (2014). On prime ideals and radicals of polynomial rings and graded rings. J. Pure Appl. Algebra 218(2):323–332.
- Mazurek, R., Nielsen, P. P., Ziembowski, M. (2015). The upper nilradical and Jacobson radical of semigroup graded rings. J. Pure Appl. Algebra 219(4):1082Ű-1094.
- Smoktunowicz, A. (2014). A note on nil and Jacobson radicals in graded rings. J. Algebra Appl. 13(4):1350121, 8.
- Thierrin, G. (1960). Sur le radical corpoïdal d’un anneau. Can. J. Math. 12:101–106.
- Vuković, M. (2001). Structures graduées et paragraduées, Prepublication de l’Institut Fourier, Université de Grenoble I, Vol. 536, pp. 1–40.