@article{CM_1977__35_3_269_0, author = {Gardner, B. J.}, title = {Polynomial identities and radicals}, journal = {Compositio Mathematica}, volume = {35}, year = {1977}, pages = {269-279}, mrnumber = {453798}, zbl = {0328.16008}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1977__35_3_269_0} }
Gardner, B. J. Polynomial identities and radicals. Compositio Mathematica, Tome 35 (1977) pp. 269-279. http://gdmltest.u-ga.fr/item/CM_1977__35_3_269_0/
[1] A general theory of radicals II. Amer. J. Math. 76 (1954) 100-125. | MR 59256 | Zbl 0055.02604
:[2] Radikaly assotsiativnykh kolets I. Mat. Sb. 44(86) (1958) 179-212. [English translation: Amer. Math. Soc. Transl. (2) 52, 95-128]. | Zbl 0199.07603
:[3] Regular PI-rings. Proc. Amer. Math. Soc. 39 (1973) 247-251. | MR 313305 | Zbl 0264.16010
and :[4] The hereditary property in the lower radical construction. Canad. J. Math. 20 (1968) 474-476. | MR 223398 | Zbl 0165.04903
and :[5] Rings all of whose factor rings are semiprime. Canad. Math. Bull. 12 (1969) 417-426. | MR 254099 | Zbl 0185.08801
:[6] Rings and radicals. London, Allen and Unwin, 1965. | MR 197489 | Zbl 0138.26303
:[7] K teorii radikala assotsiativnovo kol'tsa. Isv. Vyssh. Ucheb. Zaved. Mat. 3 (1958) 225-232. | MR 132761 | Zbl 0121.03901
:[8] O kol'tsakh, assotsiativnykh po modulyu svoevo radikala. Ural. Gos. Univ. Mat. Zap. 5 (1965) 67-72. | MR 200317 | Zbl 0296.17001
:[9] Radicals of abelian groups and associative rings. Acta Math. Acad. Sci. Hungar. 24 (1973) 259-268. | MR 323817 | Zbl 0263.16005
:[10] On the scarcity of nilpotent radical classes. Annales Univ. Sci. Budapest. Eötvös Sect. Math. 16 (1973) 23-24. | MR 349731 | Zbl 0246.16005
:[11] Some aspects of T-nilpotence. Pacific J. Math. 53 (1974) 117-130. | MR 360667 | Zbl 0253.16009
:[12] Semi-simple radical classes of algebras and attainability of identities. Pacific J. Math. 61 (1975) 401-416. | MR 399190 | Zbl 0323.17003
:[13] On semi-simple radical classes. Bull. Austral. Math. Soc. 13 (1975) 349-353. | MR 396643 | Zbl 0307.16008
and :[14] Central chains of ideals in an associative ring. Duke Math. J. 9 (1942) 341-355. | MR 6995 | Zbl 0060.07102
:[15] Sets of radical classes. Publ. Math. Debrecen. 14 (1967) 321-324. | MR 227216 | Zbl 0189.03404
:[16] A characterization of semisimple classes. J. Austral. Math. Soc. Series A. (to appear). | MR 444695 | Zbl 0356.16003
, and :[17] A theorem on polynomial identities. Proc. Amer. Math. Soc. 1 (1950) 334-341. | MR 35758 | Zbl 0037.30604
:[18] Radicals and decomposability of semigroups and rings. Annales Univ. Sci. Budapest Eötvös Sect. Math. 18 (1975) 27-36. | MR 427357 | Zbl 0331.16007
, and :[19] Varieties of algebras. Advances in Math. 8 (1972) 163-369. | MR 289587 | Zbl 0232.17001
:[20] Rings with polynomial identities. New York, Marcel Dekker, 1973. | MR 366968 | Zbl 0262.16018
:[21] Strong upper radicals. Quart. J. Math. Oxford. 27 (1976) 21-24. | MR 396647 | Zbl 0316.16010
:[22] Application of a radical of Brown and McCoy to non-associative rings. Amer. J. Math. 72 (1950) 93-100. | MR 32591 | Zbl 0035.01802
:[23] Semi-simple radical classes. Pacific J. Math. 32 (1970) 249-254. | MR 255593 | Zbl 0191.31903
:[24] Lower radical properties for associative and alternative rings. J. London Math. Soc. 41 (1966) 417-424. | MR 195899 | Zbl 0146.26104
, and :[25] Attainability of systems of identities on semigroups. J. Algebra. 3 (1966) 261-276. | MR 190255 | Zbl 0146.02702
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