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A survey of recent work on the cohomology of one-relator associative algebras

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Ring Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1328))

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References

  1. J. Backelin, La série de Poincaré-Betti d'une algèbre graduée de type fini à une relation est rationelle, C.R. Acad. Sci. Paris, Ser. A., 287 (1978), 843–846.

    MathSciNet  MATH  Google Scholar 

  2. G.M. Bergman, Commuting elements in free algebras and related topics in ring theory, Ph.D. Thesis, Harvard University, 1967.

    Google Scholar 

  3. D.E. Cohen and R.C. Lyndon, Free bases for normal subgroups of free groups, Trans. Amer. Math. Soc., 108 (1963), 528–537.

    Article  MathSciNet  MATH  Google Scholar 

  4. W. Dicks, Homogeneous elements of free algebras have free idealisers, Math. Proc. Camb. Phil. Soc., 97 (1985), 7–26.

    Article  MathSciNet  MATH  Google Scholar 

  5. W. Dicks, On the cohomology of one-relator associative algebras, J.Algebra, 97 (1985), 79–100.

    Article  MathSciNet  MATH  Google Scholar 

  6. V.N. Gerasimov, Distributive lattices of subspaces and the equality problem for algebras with a single relation (Russian), Algebra i Logika, 15 (1976), 384–435.

    Article  MathSciNet  Google Scholar 

  7. M. C. Hedges, One-relator graded algebras, Ph.D. Thesis, University of London, 1986.

    Google Scholar 

  8. J. Lewin, A matrix representation for associative algebra I, Trans. Amer. Math Soc., 188 (1974), 293–308.

    Article  MathSciNet  MATH  Google Scholar 

  9. R.C. Lyndon, Cohomology theory of groups with a single defining relation, Ann of Math, 52 (1950), 650–665.

    Article  MathSciNet  MATH  Google Scholar 

  10. W. Magnus, Über diskontinueierliche Gruppen mit einer definierenden Relation (Der Freiheitssatz), J. Reine Angew. Math., 163 (1930), 141–165.

    MathSciNet  MATH  Google Scholar 

  11. W. Magnus, Das Identitätsproblem für Gruppen mit einer definierenden Relation, Math. Ann., 106 (1932), 295–307.

    Article  MathSciNet  MATH  Google Scholar 

  12. L.G. Makar-Limanov, On algebraically closed skew-fields, J. Algebra, 93 (1985), 117–135.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. University College London, Gower Street, WC1E 6BT, London, England

    Warren Dicks

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  1. Warren Dicks
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Jose Luis Bueso Pascual Jara Blas Torrecillas

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© 1988 Springer-Verlag

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Dicks, W. (1988). A survey of recent work on the cohomology of one-relator associative algebras. In: Bueso, J.L., Jara, P., Torrecillas, B. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100917

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  • DOI: https://doi.org/10.1007/BFb0100917

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19474-3

  • Online ISBN: 978-3-540-39278-1

  • eBook Packages: Springer Book Archive

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