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Pr\"ufer conditions vs EM conditions
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In this article we relate the six Pr\"{u}fer conditions with the EM conditions. We use the EM-conditions to prove some cases of equivalence of the six Pr\"{u}fer conditions. We also use the Pr\"{u}fer conditions to answer some open problems concerning EM-rings.
Abstract
In this article we relate the six Pr\"{u}fer conditions with the EM conditions. We use the EM-conditions to prove some cases of equivalence of the six Pr\"{u}fer conditions. We also use the Pr\"{u}fer conditions to answer some open problems concerning EM-rings.
참고문헌 (17)
- Emad Abu Osba, "Annihilating content in polynomial and power series rings", 대한수학회지, 56(5), pp.1403~1418 (2019), 대한수학회[DOI]
- E. Abuosba, "EM-Hermite rings", Int. Electron. J. Algebra, 27, pp.88~101 (2020)[DOI]
- D. D. Anderson, "Annihilating content polynomials and EM-rings", J. Algebra Appl, 21(5), pp.2250092~2250109 (2022)[DOI]
- D. D. Anderson, "The rings R(X)and RhXi", J. Algebra, 95(1), pp.96~115 (1985)[DOI]
- C. Bakkari, "Trivial extensions de ned by Prufer conditions", J. Pure Appl. Algebra, 214(1), pp.53~60 (2010)[DOI]
- S. Bazzoni, "Gaussian properties of total rings of quotients", J. Algebra, 310(1), pp.180~193 (2007)[DOI]
- Manal Ghanem, "Some Extensions of Generalized Morphic Rings and EM-rings", Analele Universitatii "Ovidius" Constanta - Seria Matematica, 26(1), pp.111~123 (2018), Walter de Gruyter GmbH[DOI]
- L. Gillman, "Rings of continuous functions in which every nitely generated ideal is principal", Trans. Amer. Math. Soc, 82, pp.366~391 (1956)[DOI]
- S. Glaz, "Commutative coherent rings", Lecture Notes in Mathematics, 1371 (1989), Springer-Verlag
- S. Glaz, "The weak dimensions of Gaussian rings", Proc. Amer. Math. Soc, 133(9), pp.2507~2513 (2005)[DOI]
- S. Glaz, "Prufer conditions in commutative rings", Arab. J. Sci. Eng, 36(6), pp.967~983 (2011)[DOI]
- M. Henriksen, "The space of minimal prime ideals of a commutative ring", Trans. Amer. Math. Soc, 115, pp.110~130 (1965)[DOI]
- J. A. Huckaba, "Commutative rings with zero divisors, Monographs and Textbooks in Pure and Applied Mathematics, 117" (1988), Marcel Dekker, Inc
- M. Jarrar, "Prufer conditions in the Nagata ring and the Serre's conjecture ring", Comm. Algebra, 46(5), pp.2073~2082 (2018)[DOI]
- C. U. Jensen, "Arithmetical rings", Acta Math. Acad. Sci. Hungar, 17, pp.115~123 (1966)[DOI]
- I. Kaplansky, "Elementary divisors and modules", Trans. Amer. Math. Soc, 66, pp.464~491 (1949)[DOI]
- T. G. Lucas, "Two annihilator conditions : property(A)and(A. C. )", Comm. Algebra, 14(3), pp.557~580 (1986)[DOI]
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