A Cancellation Theorem for Projective Modules in the Metastable Range.
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Richard G. Swan (1974)
Inventiones mathematicae
Arno van den Essen, Peter van Rossum (2001)
Annales Polonici Mathematici
We present a class of counterexamples to the Cancellation Problem over arbitrary commutative rings, using non-free stably free modules and locally nilpotent derivations.
Ulrich F. Albrecht, Anthony Giovannitti, H. Pat Goeters (2002)
Czechoslovak Mathematical Journal
Butler groups formed by factoring a completely decomposable group by a rank one group have been studied extensively. We call such groups, bracket groups. We study bracket modules over integral domains. In particular, we are interested in when any bracket -module is tensor a bracket group.
L. Andrew Campbell (1973)
Mathematische Annalen
Piotr Ossowski (1998)
Colloquium Mathematicae
Let F=X-H: → be a polynomial map with H homogeneous of degree 3 and nilpotent Jacobian matrix J(H). Let G=(G1,...,Gn) be the formal inverse of F. Bass, Connell and Wright proved in [1] that the homogeneous component of of degree 2d+1 can be expressed as , where T varies over rooted trees with d vertices, α(T)=CardAut(T) and is a polynomial defined by (1) below. The Jacobian Conjecture states that, in our situation, is an automorphism or, equivalently, is zero for sufficiently large d....
T. H. Gulliksen (1971)
Compositio Mathematica
James Borger (2004)
Journal de Théorie des Nombres de Bordeaux
I extend the Hasse–Arf theorem from residually separable extensions of complete discrete valuation rings to monogenic extensions.
Manuel Ojanguren, Max-Albert Knus (1975)
Mathematische Zeitschrift
Surender K. Gupta (1974)
Mathematische Zeitschrift
Marian Kechlibar, Tomáš Kepka, Juha Kortelainen (2005)
Acta Universitatis Carolinae. Mathematica et Physica
Paulo Roberto Brumatti, Marcelo Oliveira Veloso (2011)
Colloquium Mathematicae
James Osterburg (1976)
Revista colombiana de matematicas
Bod̆a, Eduard, Schenzel, Peter (2004)
Beiträge zur Algebra und Geometrie
Juan Elias (1989)
Annales de l'institut Fourier
On this paper we compute the numerical function of the approximation theorem of M. Artin for the one-dimensional systems of formal equations.
Balwant Singh (1976)
Compositio Mathematica
Marcel Erné (1995)
Commentationes Mathematicae Universitatis Carolinae
Given a set of “indeterminates” and a field , an ideal in the polynomial ring is called conservative if it contains with any polynomial all of its monomials. The map yields an isomorphism between the power set and the complete lattice of all conservative prime ideals of . Moreover, the members of any system of finite character are in one-to-one correspondence with the conservative prime ideals contained in , and the maximal members of correspond to the maximal ideals contained in...
Ofer Gabber (1996)
Manuscripta mathematica
R. Moors (1974)
Colloquium Mathematicae
Larry J. Gerstein (1982)
Journal für die reine und angewandte Mathematik
Nowak, Krzysztof Jan (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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