REFERENCES
- Bican , L. , El Bashir , R. , Enochs , E. E. ( 2001 ). All modules have flat covers . Bull. London Math. Soc. 33 : 385 – 390 .
- Cheatham , T. J. , Stone , D. R. ( 1981 ). Flat and projective character modules . Proc. Amer. Math. Soc. 81 : 175 – 177 .
- Chen , J. L. , Ding , N. Q. ( 1996 ). On n-coherent rings . Comm. Algebra 24 : 3211 – 3216 .
- Colby , R. R. ( 1975 ). Rings which have flat injective modules . J. Algebra 35 : 239 – 252 .
- Couchot , F. ( 2006 ). RD-flatness and RD-injectivity . Comm. Algebra 34 : 3675 – 3689 .
- Dauns , J. , Fuchs , L. ( 2004 ). Torsion-freeness in rings with zero-divisors . J. Algebra Appl. 3 : 221 – 237 .
- Ding , N. Q. ( 1996 ). On envelopes with the unique mapping property . Comm. Algebra 24 : 1459 – 1470 .
- Enochs , E. E. ( 1976 ). A note on absolutely pure modules . Canad. Math. Bull. 19 : 361 – 362 .
- Enochs , E. E. ( 1981 ). Injective and flat covers, envelopes and resolvents . Israel J. Math. 39 : 189 – 209 .
- Enochs , E. E. , Jenda , O. M. G. ( 1993 ). Copure injective resolutions, flat resolutions and dimensions . Comment. Math. Univ. Carolin. 34 : 203 – 211 .
- Enochs , E. E. , Jenda , O. M. G. ( 2000 ). Relative Homological Algebra . GEM 30 . Berlin–New York : Walter de Gruyter .
- Enochs , E. E. , Kim , H. S. , Rim , S. H. (2001). Divisible envelopes over Gorenstein rings of Krull dimension at most one. Comm. Algebra 29:3275–3283.
- Fuchs , L. , Salce , L. ( 2001 ). Modules Over Non-Noetherian Domains . Math. Surveys and Monographs . Vol. 84 . Providence , Amer. Math. Society .
- Glaz , S. ( 1989 ). Commutative Coherent Rings . Lecture Notes in Math. 1371 . Berlin–Heidelberg–New York : Springer-Verlag .
- Göbel , R. , Trlifaj , J. ( 2006 ). Approximations and Endomorphism Algebras of Modules . GEM 41 . Berlin-New York : Walter de Gruyter .
- Hattori , A. ( 1960 ). A foundation of torsion theory for modules over general rings . Nagoya Math. J. 17 : 147 – 158 .
- Jones , M. F. ( 1982 ). Coherence relative to a hereditary torsion theory . Comm. Algebra 10 : 719 – 739 .
- Jøndrup , J. ( 1971 ). p.p. rings and finitely generated flat ideals . Proc. Amer. Math. Soc. 28 : 431 – 435 .
- Lam , T. Y. ( 1999 ). Lectures on Modules and Rings . New York–Heidelberg–Berlin : Springer-Verlag .
- Lee , S. B. ( 2003 ). h-divisible modules . Comm. Algebra 31 : 513 – 525 .
- Mao , L. X. , Ding , N. Q. ( 2006 ). On relative injective modules and relative coherent rings . Comm. Algebra 34 : 2531 – 2545 .
- Mao , L. X. , Ding , N. Q. ( 2007 ). FI-injective and FI-flat modules . J. Algebra 309 : 367 – 385 .
- Nicholson , W. K. , Yousif , M. F. ( 1995 ). Principally injective rings . J. Algebra 174 : 77 – 93 .
- Nicholson , W. K. , Sánchez Campos , E. ( 2004 ). Rings with the dual of the isomorphism theorem . J. Algebra 271 : 391 – 406 .
- Puninski , G. , Wisbauer , R. , Yousif , M. ( 1995 ). On P-injective rings . Glasgow Math. J. 37 : 373 – 378 .
- Rotman , J. J. ( 1979 ). An Introduction to Homological Algebra . New York : Academic Press .
- Shamsuddin , A. ( 2001 ). n-injective and n-flat modules . Comm. Algebra 29 : 2039 – 2050 .
- Stenström , B. ( 1970 ). Coherent rings and FP-injective modules . J. London Math. Soc. 2 : 323 – 329 .
- Warfield , R. B. Jr. ( 1969 ). Purity and algebraic compactness for modules . Pacific J. Math. 28 : 699 – 719 .
- Xu , J. ( 1996 ). Flat Covers of Modules . Lecture Notes in Math. 1634 . Berlin–Heidelberg–New York : Springer-Verlag .
- Xue , W. M. ( 1990 ). On PP rings . Kobe J. Math. 7 : 77 – 80 .
- Yue Chi Ming , R. ( 1974 ). On von Neumann regular rings . Proc. Edinb. Math. Soc. 19 : 89 – 91 .
- Zhang , X. X. , Chen , J. L. , Zhang , J. ( 2005 ). On (m, n)-injective modules and (m, n)-coherent rings . Algebra Colloq. 12 : 149 – 160 .
- Zhu , H. Y. , Ding , N. Q. ( 2007 ). Generalized morphic rings and their applications . Comm. Algebra 35 : 2820 – 2837 .
- Communicated by A. Facchini.