A Note on Projective Modules Over Polynomial Rings.
S.M. Bhatwadekar (1987)
Mathematische Zeitschrift
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S.M. Bhatwadekar (1987)
Mathematische Zeitschrift
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M. Pavaman Murthy (1965)
Mathematische Zeitschrift
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Frank W. Anderson (1969)
Mathematische Zeitschrift
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Hartmut Lindel (1981/82)
Inventiones mathematicae
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T. Wu, W. Tong (1995)
Manuscripta mathematica
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J.T. Stafford (1980)
Inventiones mathematicae
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Mikhail Khovanov, Radmila Sazdanovic (2015)
Fundamenta Mathematicae
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We develop a diagrammatic categorification of the polynomial ring ℤ[x]. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xⁿ and standard modules to (x-1)ⁿ in the Grothendieck ring.
K.R. Goodearl, P.C. Eklof, J. Trlifaj (1997)
Forum mathematicum
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Daniel Quillen (1976)
Inventiones mathematicae
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István Beck (1972)
Mathematische Zeitschrift
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Driss Bennis (2010)
Colloquium Mathematicae
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We prove that finitely generated n-SG-projective modules are infinitely presented.
Maciej Mroczkowski (2004)
Fundamenta Mathematicae
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The Homflypt and Kauffman skein modules of the projective space are computed. Both are free and generated by some infinite set of links. This set may be chosen to be {Lₙ: n ∈ ℕ ∪ {0}}, where Lₙ is an arbitrary link consisting of n projective lines for n > 0, and L₀ is an affine unknot.
Rüdiger Göbel, Lutz Strüngmann (2001)
Fundamenta Mathematicae
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Let R be a unital commutative ring and A a unital R-algebra. We introduce the category of E(A,R)-modules which is a natural extension of the category of E-modules. The properties of E(A,R)-modules are studied; in particular we consider the subclass of E(R)-algebras. This subclass is of special interest since it coincides with the class of E-rings in the case R = ℤ. Assuming diamond ⋄, almost-free E(R)-algebras of cardinality κ are constructed for any regular non-weakly compact cardinal...
Ricardo García López (1992)
Manuscripta mathematica
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D. Simson (1974)
Colloquium Mathematicae
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Overtoun M.G. Jenda, Edgar E. Enochs (1995)
Mathematische Zeitschrift
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