Rings characterized by (pre)envelopes and (pre)covers of their modules

Communications in Algebra

Volumn 26, Issue 3, 1998, Pages 899-912

  Rada, Juan ^a   Saorín, Manuel ^b  

^a FACULTAD DE CIENCIAS   (Venezuela)

^b UNIVERSITY OF MURCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944447969     PISSN: 00927872     EISSN: None     Source Type: Journal    
DOI: 10.1080/00927879808826172     Document Type: Article

References (21)

1. nd Edition, Springer-Verlag, New York/Heidelberg/Berlin, 1992.
2. J. Asensio Mayor and J. Martinez Hernandez: Flat envelopes in commutative rings. Israel J. Math. 62 (1988) 123-128.
3. J. Asensio Mayor and J. Martinez Hernandez: On flat and projective envelopes. J. Algebra 160 (1993), 434-440.
4. M. Auslander and S.O. Smalø : Preprojective modules over Artin algebras. J. Algebra 66 (1980), 61-122.
5. R.G. Belshoff, E.E. Enochs and J. Xu: The existence of flat covers. Proc. Amer. Math. Soc. 122 (1994), 985-991.
6. V. Camillo: Coherence for polynomial rings. J. Algebra 132 (1990), 72-76.
7. S.U. Chase: Direct product of modules. Trans. Amer. Math. Soc. 97 (1960), 457-473.
8. N. Ding and J. Chen: Relative coherence and preenvelopes. Manuscr. Math. 81 (1993), 243-262
9. E.E. Enochs: Injective and flat covers, envelopes and resolvents. Israel J. Math. 39 (1981), 189-209.
10. E.E. Enochs: Private communication
11. C. Faith and E. Walker: Direct sum representations of injective modules. J. Algebra 5 (1967) 203-221.
12. C. Faith: Embedding modules in projectives. A report on a problem. Lecture Notes in Math. vol. 951, Springer-Verlag, Berlin and New York, 1982, pp. 21-40.
13. F. Heaulme: Modules purs-semi-simples. Comm. Algebra 17 (1989) 33-58.
14. D. Hill: Endomorphism rings of hereditary modules. Arch. Math. 28 (1977) 45-50.
15. F. Kasch: Modules and Rings. Academic Press, 1982.
16. J.J. Rotman: An Introduction to Homological Algebra. New York-San Francisco-London. Academic Press, 1979.
17. E.J. Skljarenko: Pure and finitely presentable modules, duality homomorphisms and the coherence property of a ring. Math. USSR-Sb. 34 (1978), 173-186.
18. B. Stenstrom: Rings of Quotients. Springer-Verlag, Berlin-New York (1975).
19. B. Stenstrom: Coherent rings and FP-injective modules. J. London Math. Soc. (2) 2 (1970), 323-329.
20. R. Wisbauer: Foundations of Module and Ring Theory. Algebra, Logic and Applications 3. Gordon and Breach (1991).
21. J. Xu: The existence of flat covers over Noetherian rings of finite Krull dimension. Proc. Amer. Math. Soc. 123 (1995) 27-32.