Biographical retrospective of an algebraist- John Dauns In memorian

Authors

  • Jorge Eduardo Macías-Díaz Universidad Autónoma de Aguascalientes

DOI:

https://doi.org/10.33064/iycuaa2011516886

Keywords:

John Dauns, biographical, sketch, mathematical work, algebra, Tulane, Latvia

Abstract

In this work, we provide a biographical sketch of John Dauns´ life, and briefly analyze the importance of some of his mathematical works. Some of his most important articles are quoted in some detail, particularly those which he co-authored with the Tulane Faculty of Mathematics within the last 50 years. We quote here some anecdotal stories about his life at Tulane, in order to shed some light on the complex, though interesting personality of one of the greatest algebraists of this century.

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Author Biography

Jorge Eduardo Macías-Díaz, Universidad Autónoma de Aguascalientes

Departamento de Matemáticas y Física, Centro de Ciencias Básicas

References

• ALBRECHT, U. et al., Torsion-freeness and non-singularity over right pp-rings. Journal of Algebra, 285, 98–119, 2005.

• CONRAD, P., Some structure theorems for lattice-ordered groups. Transactions of the American Mathematical Society, 99, 212–240, 1961.

• DAUNS, J., A Concrete Approach to Division Rings: Re- search and Education in Mathematics. Berlin: Heldermann, 1982.

• DAUNS, J., Modules and Rings. Melbourne: Cambridge University Press, 1994.

• DAUNS, J. and L. FUCHS, Infinite Goldie dimensions. Journal of Algebra, 115, 297–302, 1988.

• DAUNS, J. and L. FUCHS, Torsion-freeness for rings with zero-divisors. Journal of Algebra and Its Applications, 3, 221–238, 2004.

• DAUNS, J. and K. H. HOFMANN, The representation of biregular rings by sheaves. Math. Zeit., 91, 103–123, 1966.

• DAUNS, J. and K. H. HOFMANN, Representation of Rings by Sections. Memoirs of the AMS, 83, Providence: American Mathematical Society, 1968.

• DAUNS, J. and K. H. HOFMANN, Representations of rings by continuous sections. Mem. Amer. Math. Soc., 83, 180, 1968.

• DAUNS, J. and K. H. HOFMANN, Spectral theory of algebras and adjunction of identity. Math Ann., 179, 175– 202, 1969.

• DAUNS, J. and D. V. WIDDER, Convolution transforms whose inversion functions have complex roots. Pac. J. Math., 15, 427–442, 1965.

• DAUNS, J. and Y. ZHOU, Sublattices of the Lattice of Pre-natural Classes of Modules. J. of Alg., 231, 138–162, 2000.

• DAUNS, J. and Y. ZHOU, Type Submodules and Direct Sum Decompositions of Modules. Rocky Mountain Journal of Math., 35, 83–104, 2005.

• DAUNS, J. and Y. ZHOU, Classes of Modules: Pure and Applied Mathematics. Boca Raton: Chapman & Hall/ CRC, 2006.

• DAUNS, J. and Y. ZHOU, Some non-classical finiteness conditions of modules. In Algebra and its applications: International Conference, Algebra and Its Applications, March 22-26, 2005, 259, Ohio University, Athens, Ohio: AMS Bookstore, 133, 2006.

• GOODEARL, K. R. and A. K. BOYLE, Dimension theory for nonsingular injective modules. Memoirs of the AMS, 7, Providence: American Mathematical Society, 1976.

Published

2011-04-30

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Section

Revisiones Científicas

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