| Title:
|
Lattices of orthogonal theories (English) |
| Author:
|
Trlifaj, Jan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
595-603 |
| . |
| Category:
|
math |
| . |
| MSC:
|
16A30 |
| MSC:
|
16A62 |
| idZBL:
|
Zbl 0725.16024 |
| idMR:
|
MR1017992 |
| DOI:
|
10.21136/CMJ.1989.102333 |
| . |
| Date available:
|
2008-06-09T15:29:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102333 |
| . |
| Reference:
|
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| Reference:
|
[2] L. Bican T. Kepka, P. Němec: Rings, modules, and preradicals.M. Dekker Inc., New York-Basel, 1982. MR 0655412 |
| Reference:
|
[3] H. Cartan, S. Eilenberg: Homological algebra.Princeton University Press, Princeton, 1956. Zbl 0075.24305, MR 0077480 |
| Reference:
|
[4] S. E. Dickson: A torsion theory for abelian categories.Trans. Amer. Math. Soc. 121 (1966), 223-235. Zbl 0138.01801, MR 0191935, 10.1090/S0002-9947-1966-0191935-0 |
| Reference:
|
[5] P. C. Eklof: Homological algebra and set theory.Trans. Amer. Math. Soc. 227 (1977), 207-225. Zbl 0355.02047, MR 0453520, 10.1090/S0002-9947-1977-0453520-X |
| Reference:
|
[6] P. C. Eklof: Set theoretic methods in homological algebra and abelian groups.Montreal University Press, Montreal, 1980. Zbl 0488.03029, MR 0565449 |
| Reference:
|
[7] L. Fuchs: Infinite abelian groups.Vol. 1, Academic Press, New York-London, 1970. Zbl 0209.05503, MR 0255673 |
| Reference:
|
[8] B. J. Gardner: Rings whose modules form few torsion classes.Bull. Austral. Math. Soc. 4 (1971), 355-359. Zbl 0209.07304, MR 0280547, 10.1017/S0004972700046700 |
| Reference:
|
[9] K. R. Goodearl: Von Neumann regular rings.Pitman, London-San Francisco-Melbourne, 1979. Zbl 0411.16007, MR 0533669 |
| Reference:
|
[10] G. Herden, M. Dugas: Arbitrary torsion classes of abelian groups.Com. in Algebra 11 (15) (1983), 1455-1472. Zbl 0543.20038, MR 0700574, 10.1080/00927878308822914 |
| Reference:
|
[11] P. Jambor: An orthogonal theory of a set-valued bifunctor.Czech. Math. J. 23 (1973), 447-454. Zbl 0271.18010, MR 0338123 |
| Reference:
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[12] P. Jambor: Hereditary tensor-orthogonal theories.Comment. Math. Univ. Carolinae 16 (1975), 139-145. Zbl 0303.16011, MR 0399149 |
| Reference:
|
[13] A. I. Kašu: Radicals and torsions in modules.Štiinca, Kišiněv 1983 (Russian). |
| Reference:
|
[14] L. Salce: Cotorsion theories for abelian groups.Symposia Math. XXIII (1979), 11-32. Zbl 0426.20044, MR 0565595 |
| Reference:
|
[15] J. Trlifaj, T. Kepka: Structure of T-rings.Colloq. Math. Soc. Bolyai 38 (Radical Theory), North-Holland, Amsterdam-Oxford-New York, (1985), 633-655. Zbl 0588.16021, MR 0899130 |
| Reference:
|
[16] J. Trlifaj: Ext and von Neumann regular rings.Czech. Math. J. 35 (1985), 324-332. Zbl 0577.16007, MR 0787134 |
| Reference:
|
[17] J. Trlifaj: Whitehead property of modules.Czech. Math. J. 36 (1986), 467-475. Zbl 0616.16009, MR 0847773 |
| Reference:
|
[18] J. Trlifaj: On countable von Neumann regular rings.(to appear). Zbl 0790.16011, MR 1087617 |
| Reference:
|
[19] W. Hodges: In singular cardinality, locally free algebras are free.Algebra Universalis 12 (1981), 205-220. Zbl 0476.03039, MR 0608664, 10.1007/BF02483879 |
| . |
