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By Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding, Irena Swanson

This quantity includes chosen refereed papers in response to lectures provided on the ??;Fifth overseas Fez convention on Commutative Algebra and Applications?? that used to be held in Fez, Morocco in June 2008. the quantity represents new tendencies and parts of classical examine in the box, with contributions from many alternative international locations. additionally, the quantity has as a unique concentration the learn and effect of Alain Bouvier on commutative algebra during the last thirty years.

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Extra info for Commutative Algebra and its Applications (De Gruyter Proceedings in Mathematics)

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Hungr. 17 (1966), 115–123. [26] S. Kabbaj and N. Mahdou, Trivial extensions defined by coherent-like conditions, Comm. Algebra 32 (2004), no. 10, 3937–3953. [27] W. Krull, Beiträge zur Arithmetik kommutativer Integritätsbereiche, Math. Z. 41 (1936), 545– 577. [28] K. A. Loper and M. Roitman, The content of a Gaussian polynomial is invertible, Proc. Amer. Math. Soc. 133 (5) (2004), 1267–1271. [29] T. G. Lucas, Gaussian polynomials and invertibility, Proc. Amer. Math. Soc. 133 (2005), no. 7, 1881–1886.

62(2000), 336–344. [49] B. Olberding, Globalizing local properties of Prüfer domains, J. Algebra 205 (1998), 480–504. [50] J. Querré, Sur une propriété des anneaux de Krull, C. R. Acad. Sc. Paris 270 (1971), A739– A742. [51] J. Querré, Sur une propriété des anneaux de Krull, Bull. Sci. Math. 95 (1971), 341–354. [52] J. Querré, Intersection d’anneaux integres, J. Algebra 43 (1976), 55–60. [53] J. Querré, Idéau divisoriels d’un anneau de polynômes, J. Algebra 64 (1980), 270–284. [54] N. Raillard (Dessagnes), Sur les anneaux de Mori, C.

Math. Soc. 128 (2000), 2879–2884. [33] H. D. thesis, University of Chicago, Chicago, 1965. Author information C. Bakkari, Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco. E-mail: ❝❜❛❦❦❛r✐❅❤♦t♠❛✐❧✳❝♦♠ N. Mahdou, Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco. E-mail: ♠❛❤❞♦✉❅❤♦t♠❛✐❧✳❝♦♠ Commutative Algebra and its Applications, 49–60 © de Gruyter 2009 On propinquity of numerical semigroups and one-dimensional local Cohen Macaulay rings Valentina Barucci Abstract.

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