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. (1985-1986)
Portugaliae mathematica
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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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Bruce Olberding (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Dumitrescu, Tiberiu (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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...
A. Facchini, P. Zanardo (1986)
Rendiconti del Seminario Matematico della Università di Padova
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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).
Ayache, Ahmed, Dobbs, David E., Echi, Othman (2006)
International Journal of Mathematics and Mathematical Sciences
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S. M. Bhatwadekar, Amartya K. Dutta (1995)
Compositio Mathematica
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