Tenkasi M. Viswanathan’s publications

[ Tenkasi M. Viswanathan (AKA Visu) is my father.  His e-mail is viswanathan dot tenkasi at gmail dot com.  No doubt he was, along with my mother, the most important influence on my thinking.   Thanks mainly to him, I came to love mathematics.   -Gandhi ]

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PAPERS:

1. On fully ordered rings, J. Indian Math. Soc. 32, 381-396, 1968.

2. Ordered modules of fractions, J. Reine Angewandte Math. 235, 78-107, 1969.

3. Generalization of Holder’s Theorem to ordered modules, Canadian J. Math. 21, 149-157, 1969

4. (With T. Gulliksen and P. Ribenboim) An elementary note on group rings, J. Reine und Angew. Math. 242 (1970) 148-162.

5. (With Clive Reis) A compactness property for prime ideals in Noetherian Rings, Proc. Amer. Math. Soc. 25, 353-356, 1970.

6. Hahn valuations and locally compact rings, J. Algebra, 17, 94-109, 1971.

7. (With H.J. Shyr) A note on the radicals of lattice-ordered rings, Pacific. J. Math., 54, 257-260, 1974.

8. A characterization of Henselian valuations via the norm, Bull. Brazilian Math. Soc., 4, 51-53, 1973.

9. Lattice-ordered rings satisfying identities, Colecão Atas, Brazilian Math. Soc., 33, 145-177, 1973.

10. Sobre dimensao de Krull de aneis comutativos, Atas 9^th Brazilian Math. Colloquium, 71-78, 1973.

11. G-domains and their overrings, Proc. 4th School of Algebra, Brazilian Math. Soc.

12. Local and global theory of quadratic forms, Math. Exp. Federal Univ. Ceara: Proc. Number Theory Meeting, Fortaleza, 1976.

13. (With Revati Ramaswamy) Overring properties of G-domains, Proc. Amer. Math. Soc. 58, 59-66, 1976.

14. Ordered fields and sign-changing polynomials, J. Reine Angewandte Math., 296, 1-9, 1977.

15. Factorial coordinate rings of conics in PK3, Bull. Math. Italiana, 17-A, 247-248, 1980.

16. Prufer domains: Results and problems, Proc. 2th Braz. Math. Colloquium,

17. (With A.J. Engler)Digging holes in algebraic closures a la Artin – II, J. Contemporary Math. American Math. Soc., 8, 351-360, 1982.

18. (With A.J. Engler) Digging holes in algebraic closures a la Artin – I, Math. Annalen, 285, 1983

19. (With M. Fontana) Analogues of a theorem of Cohen for overrings, J. Pure and Applied Alg., 29, 285-296, 1983.

20. (With A.J. Engler) Real fields with small Galois groups, Rocky Mountain J. Math., 14, 817-818, 1984.

21. (With Da Silva) A note on the structure of Zp[[X]]©modules, Compte Rendu. Math. Acad. Soc., Royal Soc. Canada, VII, 342-348, 1985.

22. (With A.J. Engler) Formally real fields with a simple description of the absolute Galois group, Manuscripta Math. 56, 71-87, 1986.

23. (With G.G. Bastos) Torsion-free Abelian groups, Valuations and Twisted Group Rings, Canadian Math. Bulletin,31, 139-146, 1988.

24. (With E.G. Houston and T. Lucas) Primary Decomposition of Divisorial Ideals in Mori Domains, Journal of Algebra,117, 327-342, 1988.

25. (With A. Solian) Hochster’s Theorem, Coherent Locales, and Lattices of Radical Ideals, Communications in Algebra, 16, 2625-2648, 1988.

26. (With G.G. Bastos) Purely Transcendental Extensions of Torsion Free Abelian Group Rings and Valuations, Proceedings of the 12^th Brazilian Colloquium, Rio de Janeiro, 19, 9-15, 1989.

27. (With A. Solian) Open Problem E: A Problem in Topology and Logic, Papers on General Topology and Related Category Theory and Topological Algebra, Annals. New York Academy of Sciences, 552, p.189, 1989.

28. (With G.G. Bastos and L.Fuchs) On Chains of Purely Transcendental Field Extensions, Rendiconti Seminario Mathematico della Universitá di Padova, 83, 171-175, 1990.

29. Adjoint Functors Arise Everywhere, Proceedings of the 10^th School of Algebra, Vitoria, E.S., Brazil, Colecao Atas 16, 81-94. Rio de Janeiro: Brazilian Mathematical Society, 1990.

30. (With A. Solian) Pluri-adjoints and Preservation of Finite Limits, Journal of Pure and Applied Algebra, 65, 69-90, 1990.

31. (With A. Solian) Colimits of Hom-sets and Pluri-representable Functors, Bull. Soc. Math. Belgique 44, 2 Ser B, 147-163 (1992).

32. Paulo Ribenboim: Three Aspects of His Career, Proceedings of the Third Number Theory Conference, London, Canada, Oxford University Press, 1993.

33. (With A. Solian) Adjoints, Multi-adjoints, Pluri-adjoints, Bull. Soc. Math. Belgique 2, 259-264 (1995).

34. (With G.M. Viswanathan) Spontaneous symmetry breaking and finite-time singularities in d-dimensional incompressible flows with fractional dissipation, EPL 84, 50006 (2008).

35. (With G.M. Viswanathan) Hydrodynamics at the smallest scales: a solvability criterion for Navier-Stokes equations in high dimensions, PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 369,  359-370 (2011).

BOOKS:

Studies on Ordered Rings and Modules, Doctoral Thesis, Queen’s University at Kingston, 1967.

Projective Modules and Symmetric Algebras by Hyman Bass. I (TMV) organized and wrote up these notes of the lectures of Professor Hyman Bass. Published by IMPA, Rio de Janeiro, 1978.

Introdução a álgebra e aritmética (Portuguese). Published by IMPA, Rio de Janeiro, 1979.