Publications (Kimmo I. Rosenthal)

Return to Kimmo Rosenthal’s faculty page.

Books

  1. Quantales and their Applications, Pitman Research Notes in Mathematics, 234, Longman Scientific & Technical, 1990, 165 pg.
  2. The Theory of Quantaloids, Pitman Research Notes in Mathematics, 348, Addison-Wesley-Longman, 1996, 147 pg.

Articles

  1. Aspects of Etendues, Ph.D dissertation, State University of New York at Buffalo (1979).
  2. Etendues and categories with monic maps Journal of Pure and Applied Algebra 22 (1981), 193–212.
  3. Rigidity in closed categories and generalized sup-inf theorems, Journal of Pure and Applied Algebra 24 (1982), 41–57.
  4. Local equivalence relations, Topology and its Applications 13 (1982), 167–176.
  5. Quotient systems in Grothendieck topoi, Cahiers de Topologie et Geom. Diff. XXIII-4 (1982), 425–438.
  6. A completion for partially ordered abelian groups, Semigroup Forum 28, (1984), 273–290.
  7. Sheaves and local equivalence relations, Cahiers de Topologie et Geom. Diff. Cat. XXV-2 (1984), 179–205.
  8. Strong de Morgan’s law and the spectrum of a commutative ring, (with S. Niefield) Journal of Algebra 93 (1985), 169–181.
  9. A note on the algebraic de Morgan’s law, (with S. Niefield) Cahiers de Topologie et Geom. Diff. Cat. XXVI-2 (1985), 115–120.
  10. Covering etendues and Freyd’s theorem, Proceedings of American Mathematical Society 99 (1987), 221–222.
  11. Spatial sublocales and essential primes, (with S. Niefield), Topology and its Applications 26 (1987), 263–269.
  12. Sheaves of integral domains on Stone spaces (with S. Niefield), Journal of Pure and Applied Algebra 47 (1987), 173–179.
  13. Ideals of closed categories (with S. Niefield), Journal of Pure and Appied Algebra 51 (1988), 293–304.
  14. Constructing locales from quantales, Math. Proceedings of Cambridge Philosophical Society 104 (1988), 215–234.
  15. Componental nuclei (with S. Niefield), Categorical Algera and its Applications Springer Lecture Notes in Math. 1348 (1988), 299–306.
  16. Connections between ideal theory and the theory of locales (with S. Niefield), Papers on General Topology and Related Category Theory and Topological Algebra, Annals of New York Academy of Sciences 552 (1989), 138–151.
  17. Sheaves of semiprime ideals, (with S. Niefield), Cahiers de Topologie et Geometrie Differentielle Categoriques XXXI-3 (1991) 213–228.
  18. A note on Girard quantales, Cahiers de Topologie et Geom Diff. Cat. XXX-1 (1990), 3–12.
  19. Free quantaloids, Journal of Pure and Applied Algebra 72 (1991), 67–82.
  20. Quantaloidal nuclei, the syntactic congruence, and tree automata, Journal of Pure and Applied Algebra 77 (1992), 189–205.
  21. Girard quantaloids, Mathematical Structures in Computer Science 2 No. 1 (1992), 93–108.
  22. A general approach to gabriel filters on quantales, Communications in Algebra 20 (11) (1992), 3393–3409.
  23. Indexed quantales and linear quantalic hyperdoctrines, Category Theory, Canadian Mathematical Society Proceedings, Amer. Math. Society 13 (1992), 409–420.
  24. A note on categories enriched in quantaloids and modal and temporal logic, Cahiers de Topologie et Geom. Diff. Cat. XXXIV (4) (1993), 267–279.
  25. A categorical look at tree automata and context-free languages, Mathematical Structures in Computer Science 4 (1994), 287–293.
  26. Autonomous categories of bimodules, Journal of Pure and Applied Algebra 97 (1994), 189–202.
  27. Modules over a quantale and models for the operator! in linear logic, Cahiers de Topologie et Geom. Diff. Cat. XXXV-4 (1994), 329–333.
  28. Quantaloids, enriched categories and automata theory, Applied Categorical Structures 3 (1995), 279–301.
  29. Relational monoids, multirelations and quantalic recognizers, Cahiers de Topologie et Geom. Diff. Cat. XXXVIII-2 (1998).

Student Affairs

  1. Peer Mentors: Bridging the Advising Gap, About Campus March/April 24-27 (2010) (with Shelly Shinebarger).

Fiction

  1. Reading Murnane at 4AM(*) (The Consolation of Possibility) – Prime Number (A Journal of Distinctive Prose and Poetry) – Vol. 53, Spring, 2014.
  2. Very Good is not Good Enough – KYSO Flash, Vol. 2, Fall, 2014.
  3. In a certain sense the Good is comfortless – KYSO Flash, Vol. 2, Fall, 2014.
  4. Sin comes openly – KYSO Flash, Vol. 2, Fall, 2014.
  5. A cage went in search of a bird – KYSO Flash, Vol. 2, Fall, 2014.
  6. Dancing the Quadrille – EDGE, Vol. 9, Fall, 2015.
  7. Ruby, My Dear – KYSO Flash, Vol. 6, Fall, 2016.
  8. The Old Topology – decomP, May/June, 2017.

(*)Nominated for a Pushcart Prize

Poetry

  1. Murnane’s World – The Fib Review, Vol. 21, June, 2015.
  2. Sorrentino’s Shadow – The Fib Review, Vol. 26, September, 2016.
  3. The Gaze of Blanchot – The Fib Review, Vol. 30, September, 2018.

Creative Non-Fiction

  1. Mon Ami Pierrot – KYSO Flash, Vol. 9, Fall, 2018.
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