Title:
|
Additive radicals (English) |
Author:
|
Beidar, Konstantin I. |
Author:
|
Trokanová-Salavová, K. |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
39 |
Issue:
|
4 |
Year:
|
1989 |
Pages:
|
659-673 |
. |
Category:
|
math |
. |
MSC:
|
16A21 |
idZBL:
|
Zbl 0697.16006 |
idMR:
|
MR1018001 |
DOI:
|
10.21136/CMJ.1989.102342 |
. |
Date available:
|
2008-06-09T15:30:02Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102342 |
. |
Reference:
|
[1] S. A. Amitsure: Radicals in complete lattices.Amer. J. Math. 74 (1952), 774-786. MR 0050563, 10.2307/2372225 |
Reference:
|
[2] S. A. Amitsur: Identities and linear dependence.Israel J. Math. 22 (1975), 127-135. Zbl 0319.16009, MR 0387341, 10.1007/BF02760161 |
Reference:
|
[3] В. А. Андрунакиевич Ю. M. Рябухин: Радикалы алгебр и структурная теория.Наука, Москва 1979. Zbl 1225.01075 |
Reference:
|
[4] E. P. Armendariz: Closure properties in radical theory.Pacif. J. Math. 26 (1968), 1-7. Zbl 0186.06701, MR 0236213, 10.2140/pjm.1968.26.1 |
Reference:
|
[5] E. P. Armendariz, W. G. Leavitt: The hereditary property in the lower radical construction.Canad. J. Math. 20 (1968), 474-476. Zbl 0165.04903, MR 0223398, 10.4153/CJM-1968-044-3 |
Reference:
|
[6] K. I. Beidar: A chain of Kurosh may have an arbitrary finite length.Czech. Math. J. 32 (1982), 418-422. Zbl 0503.16005, MR 0669784 |
Reference:
|
[7] N. Divinsky: Rings and radicals.University of Toronto (1965). Zbl 0138.26303, MR 0197489 |
Reference:
|
[8] K. R. Goodearl: Von Meumann regular rings.Pitman (1979). |
Reference:
|
[9] N. Jacobson: Structure of rings.Amer. Math. Soc. Publ. (1956). Zbl 0073.02002, MR 0081264 |
Reference:
|
[10] C. Procesi: Rings with polynomial identities.Dekker, New York (1973). Zbl 0262.16018, MR 0366968 |
Reference:
|
[11] Ю. M. Рябухин: Радикалы в категориях.Мат. исслед. 2 (1967), 107- 165. Zbl 1103.35360, MR 0227071 |
Reference:
|
[12] Ю. M. Рябухин: К теории радикалов неассоциативных колец. |
Reference:
|
[13] L. H. Rowen: Polynomial identities in ring theory.Academic Press (1980). Zbl 0461.16001, MR 0576061 |
Reference:
|
[14] A. Sulinski R. Anderson, N. Divinsky: Lower radical properties for associative and alternative rings.J. London Math. Soc. 41 (1966), 417-424. MR 0195899, 10.1112/jlms/s1-41.1.417 |
Reference:
|
[15] F. A. Szász: Ein radikaltheoretische Vereinigungsendomorphismus des Idealverbandes der Ringe.Ann. Univ. Sci. Budapest R. Eotvos, Sect. Math. 12 (1969), 73-75. MR 0266955 |
Reference:
|
[16] F. A. Szász: Radicals of rings.Akadémiai Kiadó, Budapest (1981). |
Reference:
|
[17] E. A. Водииюк: Коатомы в решетках радикалов, кручений и специальных радикалов алгебр ограниченной размерности.Мат. исслед. 62 (1981), 18-37. Zbl 1170.01413 |
Reference:
|
[18] R. Wiegandt: Lectures on radical and semisimple classes of rings.Islamabad, Pakistan (1972). MR 0327817 |
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