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@article{ADM_2011_11_1_a0, author = {H. Ansari-Toroghy and D. Hassanzadeh-Lelekaami}, title = {On the prime spectrum of top modules}, journal = {Algebra and discrete mathematics}, pages = {1--16}, publisher = {mathdoc}, volume = {11}, number = {1}, year = {2011}, language = {en}, url = {http://geodesic.mathdoc.fr/item/ADM_2011_11_1_a0/} }
H. Ansari-Toroghy; D. Hassanzadeh-Lelekaami. On the prime spectrum of top modules. Algebra and discrete mathematics, Tome 11 (2011) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/ADM_2011_11_1_a0/
[1] S. Abu-Saymeh, “On dimensions of finitely generated modules”, Comm. Algebra, 23:3 (1995), 1131–1144 | DOI | MR | Zbl
[2] F. W. Anderson and K. R. Fuller, Rings and categories of modules, Graduate Texts in Math., 13, Springer-Verlag, New York, 1992 | DOI | MR | Zbl
[3] S. Ebrahimi Atani, “Strongly irreducible submodules”, Bull. Korean Math. Soc., 42:1 (2005), 121–131 | DOI | MR | Zbl
[4] M.F. Atiyah and I.G. Macdonald, Introduction to commutative algebra, Addison-Wesley, 1969 | MR | Zbl
[5] A. Azizi, “Weak multiplication modules”, Czechoslovak Math. J., 53:128 (2003), 529–534 | DOI | MR | Zbl
[6] A. Barnard, “Multiplication modules”, J. Algebra, 71:1 (1981), 174–178 | DOI | MR | Zbl
[7] M. Behboodi, “A generalization of the classical krull dimension for modules”, J. Algebra, 305 (2006), 1128–1148 | DOI | MR | Zbl
[8] M. Behboodi and M. R. Haddadi, “Classical Zariski topology of modules and spectral spaces I”, Int. Electron. J. Algebra, 4 (2008), 104–130 | MR | Zbl
[9] M. Behboodi and M. R. Haddadi, “Classical Zariski topology of modules and spectral spaces II”, Int. Electron. J. Algebra, 4 (2008), 131–148 | MR | Zbl
[10] N. Bourbaki, Commutative algebra, chap. 1–7, Hermann, Paris, 1972 | MR
[11] F. Çallialp and Ü. Tekir, “On unions of prime submodules”, Southeast Asian Bull. Math., 28 (2004), 213–218 | MR
[12] Z.A. El-Bast and P.F. Smith, “Multiplication modules”, Comm. Algebra, 16:4 (1988), 755–779 | DOI | MR | Zbl
[13] M. Hochster, “Prime ideal structure in commutative rings”, Trans. Amer. Math. Soc., 142 (1969), 43–60 | DOI | MR | Zbl
[14] Chin-Pi Lu, “Prime submodules of modules”, Comment. Math. Univ. St. Pauli, 33:1 (1984), 61–69 | MR | Zbl
[15] Chin-Pi Lu, “M-radicals of submodules in modules”, Math. Japonica, 34:2 (1989), 211–219 | MR | Zbl
[16] Chin-Pi Lu, “Spectra of modules”, Comm. Algebra, 23:10 (1995), 3741–3752 | DOI | MR | Zbl
[17] Chin-Pi Lu, “The Zariski topology on the prime spectrum of a module”, Houston J. Math., 25:3 (1999), 417–432 | MR | Zbl
[18] Chin-Pi Lu, “Saturations of submodules”, Comm. Algebra, 31:6 (2003), 2655–2673 | DOI | MR | Zbl
[19] Chin-Pi Lu, “A module whose prime spectrum has the surjective natural map”, Houston J. Math., 33:1 (2007), 125–143 | MR | Zbl
[20] R.L. McCasland, M.E. Moore, and P.F. Smith, “On the spectrum of a module over a commutative ring”, Comm. Algebra, 25:1 (1997), 79–103 | DOI | MR | Zbl
[21] J. R. Munkres, Topology, second ed., Prentice Hall, New Jersey, 1999
[22] W. Stephenson, “Modules whose lattice of submodules is distributive”, J. Lond. Math. Soc. (2), 28:2 (1974), 291–310 | DOI | MR | Zbl
[23] P. Vamos, “The decomposition of finitely generated modules and fractionally self-injective rings”, J. Lond. Math. Soc. (2), 16:2 (1977), 209–220 | DOI | MR | Zbl