Home Page of Gabriele Ricci

Associate Professor
Department of Mathematics
University of Parma
Italy

gabriele.ricci@unipr.it

Member of the Computer Science Group at the University of Parma.

Current Research Interests

Universal Mathematics for Computer Science: universal matrices (universal extensions of the computationally relevant subjects of Linear Algebra of both a strictly linear and nonlinear nature) and two-ary arithmetics.

Publications

  1. G. Ricci, A new formalism for studying some graph properties: the Pert-expression (in Italian with title Un nuovo formalismo per lo studio di certe proprietą dei grafi: la Pert-espressione), Istituto Lombardo (Rendiconti Scienze), 100 (1966), 439-454.

  2. G. Ricci, Nucleus of a Pert network and the problem of delays (in Italian with title Nucleo di una rete Pert e problema dei ritardi), Calcolo, 5, 1 (1968), 1-15.

  3. G. Ricci, Design problems for real time systems (in Italian with title Problemi di dimensionamento in sistemi operanti in tempo reale), Atti XVIo Congr. Scient. Internaz. Elettronica, Rome, 1969, 76-83.

  4. G. Ricci, Using the Dimtyp method for planning plants of homogeneous machines (in italian with title Uso del metodo Dimtyp per la pianificazione di impianti costituiti da macchine omogenee), Impianti, 10 (1969),37-46.

  5. D. Da Riva and G. Ricci, Data organization --- Information retrieval (in Italian with title Elementi di organizzazione delle informazioni --- Information retrieval), F. Angeli Editore, Milan, 1972.

  6. G. Ricci, An observation on a Formal Language notation, SIGACT News, 17 (1972), 18-23.

  7. G. Ricci, Cascades of tree-automata and computations in universal algebras, Mathematical Systems Theory, 7, 3 (1973), 201-218.

  8. G. Ricci, Some further comments about nothing, SIGACT News, 5 3 (1973), 201-218.

  9. G. Ricci, The Abaci (On the representation of data and representation dependent algorithms) (Ph.D. dissertation, Dept. of Computer Science, The University of Waterloo, 1973), University Microfilms Inc., Ann Arbor, 1974 .

  10. G. Ricci, On the representation of data, Report CS-74-20, Dept. of Computer Science, The University of Waterloo, 1974.

  11. M. Lunelli, G. Ricci and M. Bonecchi, Algoritmi combinatorici (Combinatorial Algorithms), F. Angeli Editore, Milan, 1977.

  12. G. Ricci, P-algebras and combinatory notation, Rivista di Matematica dell'Universitą di Parma, (4) 5 (1979), 577-589.

  13. G. Ricci, When university mathematics really interact with companies and government (in Italian with title Esempī sperimentati di rapporti della matematica universitaria con industrie e poteri), Riv. Mat. Univ. Parma, (4) 6 (1980),439-440.

  14. G. Ricci, Syntactic compression codes at the zero entropy point, International Journal of Computer Mathematics, 11 (1982), 221-226.

  15. G. Ricci, Illogical programming, Atti degli Incontri di Logica Matematica, Xo Incontro, Siena, 3 (1986), 417-420.

  16. G. Ricci, Most definitions of trees over an alphabet are wrong, Bulletin of the E.A.T.C.S., 40 (1990), 265.

  17. G. Ricci, Universal eigenvalue equations, Pure Math.and Appl. Ser. B, 3, 2-3-4 (1992), 231-288 (As this journal retyped the paper without Author's approval, there are many misprints. Most of them appear in ERRATA to Universal eigenvalue equations, Pure Math.and Appl. Ser. B, 5, 2 (1994), 241-243. Again, these pages were retyped. Anyway, the original is in Universal eigenvalue equations, original version.)

  18. G. Ricci, A Whitehead generator, Quaderni del Dipartimento di Matematica 86, Universitą di Parma, Parma, 1993.
  19. G. Ricci, Two isotropy properties of ``universal eigenspaces'' (and a problem for DT0L rewriting systems), Contributions to General Algebra 9 (1995), 281-290.

  20. G. Ricci, New characterizations of universal matrices show that neural networks cannot be made algebraic, to appear on Contributions to General Algebra 10 (edited by Dorninger, Eigenthaler, Kaiser, Kautschitsch, Moren & Müller), J. Hein Verlag, Klagenfurt, 1998.

  21. G. Ricci, Boolean matrices ...neither Boolean nor matrices, Discussiones Mathematicae, General Algebra and Applications 20 (2000), 141-151.

  22. G. Ricci, Isomorphisms between analytic monoids, The Eighth International Workshop in Mathematics Gronów 2000, Institute of Mathematics, Technical University of Zielona Góra, September 25-29, 2000, 33-33.

  23. G. Ricci, Analytic monoids, Quaderni del Dipartimento di Matematica 238, Universitą di Parma, Parma, 2000.

  24. G. Ricci, Two-ary integers can improve LISP addressing and justify universal affine notions, AAA62 - Workshop on General Algebra (62. Arbeitstagung Allgemeine Algebra), Johannes Kepler Universität Linz, June 14-17, 2001. http://at.yorku.ca/cgi-bin/amca/cagl-29 .

  25. G. Ricci, Some analytic features of algebraic data, Discrete Appl. Math. 122/1-3 (2002), 235-249.

  26. G. Ricci, Analytic monoids versus abstract monoids, Italian Journal of pure and Applied Mathematics, 16 (2004), 125-136.

  27. G.Ricci, A semantic construction of two-ary integers, Discussiones Mathematicae General Algebra and Applications, 25 (2005), 165-219.

  28. G. Ricci, Sameness between based universal algebras (transformations for Menger systems and analytic monoids), Quaderni del Dipartimento di Matematica 456, Università di Parma, Parma, 2006 (click here).

  29. G. Ricci, Dilatations kill fields, International Journal of Mathematics, Game Theory and Algebra, 16, 5/6 (2007), 13-34.

  30. G. Ricci, Another characterization of vector spaces without fields, in G. Dorfer, G. Eigenthaler, H. Kautschitsch, W. More, W. B. Müller. (Hrsg.): Contributions to General Algebra 18. Klagenfurt: Verlag Heyn GmbH & Co KG, 31 February 2008, 139-150.

  31. G. Ricci, Transformations between Menger systems, Demonstratio Math., 41 4 (2008), 743-762.

  32. G. Ricci, Sameness between based universal algebras, Demonstratio Math., 42, 1 (2009), 1-20.