On locally divided integral domains and CPI-overrings.
Dobbs, David E. (1981)
International Journal of Mathematics and Mathematical Sciences
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Dobbs, David E. (1981)
International Journal of Mathematics and Mathematical Sciences
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Dobbs, David E., Fontana, Marco (1991)
International Journal of Mathematics and Mathematical Sciences
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A. Facchini, P. Zanardo (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Paolo Valabrega (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Fontana, Marco, Zafrullah, Muhammad (2009)
International Journal of Mathematics and Mathematical Sciences
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Mabrouk Ben Nasr, Noôman Jarboui (2000)
Publicacions Matemàtiques
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A domain R is called a maximal non-Jaffard subring of a field L if R ⊂ L, R is not a Jaffard domain and each domain T such that R ⊂ T ⊆ L is Jaffard. We show that maximal non-Jaffard subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim R = dim R + 1. Further characterizations are given. Maximal non-universally catenarian subrings of their quotient fields are also studied. It is proved that this class of domains coincides with the previous class when...
Noômen Jarboui (2002)
Publicacions Matemàtiques
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A domain R is called a maximal "non-S" subring of a field L if R ⊂ L, R is not an S-domain and each domain T such that R ⊂ T ⊆ L is an S-domain. We show that maximal "non-S" subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim(R) = 1, dim(R) = 2 and L = qf(R).
Bruce Olberding (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Nicolae Popescu, Constantin Vraciu (1985)
Rendiconti del Seminario Matematico della Università di Padova
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Ahmed Ayache, Hanen Monceur (2011)
Colloquium Mathematicae
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We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
Malik, Saroj, Mott, Joe L., Zafrullah, Muhammad (1986)
International Journal of Mathematics and Mathematical Sciences
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