On -fibrations of subalgebras of polynomial algebras
S. M. Bhatwadekar, Amartya K. Dutta (1995)
Compositio Mathematica
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S. M. Bhatwadekar, Amartya K. Dutta (1995)
Compositio Mathematica
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Steven Dale Cutkosky (1995)
Compositio Mathematica
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M. Van der Put (1975)
Compositio Mathematica
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Takako Kuzumaki (1991)
Compositio Mathematica
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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...
Audun Holme (1973)
Compositio Mathematica
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David E. Dobbs, Marco Fontana (1982)
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).