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Communications in Algebra Volume 46, 2018 - Issue 11
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Articles

On slightly P-coherent rings

Yuedi ZengSchool of Mathematics, Putian University, Putian, Fujian, P. R. ChinaCorrespondence[email protected]
Pages 4941-4953 | Received 14 Sep 2017, Published online: 23 Apr 2018

References

  • Anderson, F. W., Fuller, K. R. (1974). Rings and Categories of Modules. Berlin: Springer-Verlag.
  • Bjork, J. E. (1970). Rings satisfying certain chain conditions. J. Reine Angew. Math. 245:63–73.
  • Chase, S. U. (1960). Direct products of modules. Trans. Am. Math. Soc. 97:457–473.
  • Chen, J. L., Ding, N. Q., Li, Y. L., Zhou, Y. Q. (2001). On (m,n)-injectivity of modules. Commun. Algebra 29: 5589–5603.
  • Colby, R. R. (1975). Rings which have flat injective modules. J. Algebra 35:239–252.
  • Ding, N. Q. (1996). On envelopes with the unique mapping property. Commun. Algebra 24:1459–1470.
  • Enochs, E. E. (1976). A note on absolutely pure modules. Can. 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. (2000). Relative Homological Algebra. de Gruyter Exp. Math., Vol. 30. Berlin: de Gruyter.
  • Glaz, S. (1989). Commutative Coherent Rings. Lecture Notes in Mathematics, Vol. 1371. Berlin: Springer-Verlag.
  • G̈bel, R., Trlifaj, J. (2006). Approximations and Endomorphism Algebras of Modules. GEM, Vol. 41. Berlin, New York: Walter de Gruyter.
  • Mao, L. X., Ding, N. Q. (2006). On relative injective modules and relative coherent rings. Commun. Algebra 34: 2531–2545.
  • Mao, L. X., Ding, N. Q. (2008). On divisible and torsionfree modules. Commun. Algebra 36:708–731.
  • Nicholson, W. K., Śchez Campos, E. (2004). Rings with the dual of the isomorphism theorem. J. Algebra 271: 391–406.
  • Stenstr̈m, B. (1970). Coherent rings and FP-injective modules. J. London Math. Soc. 2:323–329.
  • Xu, Z. J. (1996). Flat Covers of Modules. Lecture Notes in Mathematics, Vol. 1634. Berlin, Heidelberg-New York: Springer-Verlag.
  • Xu, S. Y. (1986). Coherent rings and IF rings are characterized by FP-injective modules. Coherent rings and IF rings are characterized by FP-injective modules (English Ed.) 1:21–26.
  • Xue, W. M. (1990). On PP rings. Kobe J. Math. 7:77–80.
  • Zeng, Y. D., Chen, J. L. (2013). Resolutions and dimensions of relative injective modules and relative flat modules. Bull. Korean Math. Soc. 50(1):11–24.
  • Zhang, X. X., Chen, J. L. (2005). On (m,n)-injective modules and (m,n)-coherent rings. Algebra Colloquium 12: 149–160.
  • Zhu, H. Y., Ding, N. Q. (2007). Generalized morphic rings and their applications. Commun. Algebra 35:2820–2837.

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