Secondary characteristic classes and intermediate Jacobians.
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Displaying 1 – 8 of 8
Separable -free modules with almost trivial dual
Daniel Herden, Héctor Gabriel Salazar Pedroza (2016)
Commentationes Mathematicae Universitatis Carolinae
An -module has an almost trivial dual if there are no epimorphisms from to the free -module of countable infinite rank . For every natural number , we construct arbitrarily large separable -free -modules with almost trivial dual by means of Shelah’s Easy Black Box, which is a combinatorial principle provable in ZFC.
Sequences between d-sequences and sequences of linear type
Hamid Kulosman (2009)
Commentationes Mathematicae Universitatis Carolinae
The notion of a d-sequence in Commutative Algebra was introduced by Craig Huneke, while the notion of a sequence of linear type was introduced by Douglas Costa. Both types of sequences generate ideals of linear type. In this paper we study another type of sequences, that we call c-sequences. They also generate ideals of linear type. We show that c-sequences are in between d-sequences and sequences of linear type and that the initial subsequences of c-sequences are c-sequences. Finally we prove a...
Some properties of direct sums of uniserial modules over valuation domains
Silvana Bazzoni (1992)
Rendiconti del Seminario Matematico della Università di Padova
Some remarks on Prüfer modules
S. Ebrahimi Atani, S. Dolati Pishhesari, M. Khoramdel (2013)
Discussiones Mathematicae - General Algebra and Applications
We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.
Strongly rectifiable and S-homogeneous modules
Libuše Tesková (2000)
Discussiones Mathematicae - General Algebra and Applications
In this paper we introduce the class of strongly rectifiable and S-homogeneous modules. We study basic properties of these modules, of their pure and refined submodules, of Hill's modules and we also prove an extension of the second Prüfer's theorem.
Summen von einfach-radikalvollen Moduln.
Helmut Zöschinger (1987)
Mathematische Zeitschrift
Sur les Extensions Triviales Commutatives
Farid Kourki (2009)
Annales mathématiques Blaise Pascal
Nous caractérisons les extensions triviales semiGoldie, de cogénération finie, mininjectives et quasi-Frobeniusiens. Comme application, nous montrons que tout anneau noethérien s’injecte dans un anneau quasi-Frobeniusien.
Currently displaying 1 – 8 of 8
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