Prof. Jonathan S. Golan -- publications


Books

  1. Localization of Noncommutative Rings, Marcel Dekker, New York, 1975.
  2. Decomposition and Dimension in Module Categories, Marcel Dekker, New York, 1977.
  3. Structure Sheaves over a Noncommutative Ring, Marcel Dekker, New York, 1980.
  4. Studies in Modern Algebra -- vol. I, Group Theory and Ring Theory, University of Haifa Press, Haifa, 1981. [Hebrew]
  5. Studies in Modern Algebra -- vol. II, Field Theory and Galois Theory, University of Haifa Press. Haifa, 1982. [Hebrew]
  6. Torsion Theories, Longman Scientific & Technical, Harlow, 1986.
  7. Thirty Open Problems Concerning Torsion Theories, Secretariado de Publicaciones y Departamento de Algebra y Fundamentos, Universidad de Murcia, Murcia, 1986.
  8. Linear Topologies on a Ring: an Overview, Longman Scientific & Technical, Harlow, 1987.
  9. Derivatives, Nuclei, and Dimensions on the Frame of Torsion Theories, Longman Scientific & Technical, Harlow, 1988 [with Harold Simmons].
  10. Modules and the Structure of Rings -- A Primer, Marcel Dekker, New York, 1991 [with Tom Head].
  11. The Theory of Semirings, Longman Scientific & Technical, Harlow, 1992.
  12. Foundations of Linear Algebra, Dekel, Tel Aviv, 1992. [Hebrew]
  13. Studies in Modern Algebra (revised and expanded edition), University of Haifa Press, Haifa, 1992. [Hebrew]
  14. Solved Problems in Linear Algebra, Dekel, Tel Aviv, 1993 [Hebrew].
  15. Foundations of Linear Algebra (English edition), Kluwer, Dordrecht, 1995.
  16. Foundations of Linear Algebra (revised and expanded edition) Dekel, Tel Aviv, 1995 [Hebrew]
  17. English for Students of Mathematics Maruzen, Tokyo, 1997. [with Marsha Bensoussan]
  18. Semirings and their Applications Kluwer, Dordrecht, 1999.
  19. Solved Problems in Linear Algebra (revised and expanded edition), Dekel, Tel Aviv, 1999 [Hebrew].
  20. Power algebras over semirings Kluwer, Dordrecht, 1999.
  21. Foundations of Linear Algebra (third edition) Dekel, Tel Aviv, 2000 [Hebrew]
  22. Semirings and Affine Equations over Them: Theory and Applications, Kluwer, Dordrecht, 2003.
  23. The Linear Algebra a Beginning Graduate Student Ought to Know, Kluwer, Dordrecht, 2004.
  24. The Linear Algebra a Beginning Graduate Student Ought to Know (Second Edition), Springer, Dordrecht, 2007.

Articles

  1. Characterization of rings using quasiprojective modules, Israel J. Math. 8 (1970), 34-38.
  2. Quasiperfect modules, Quart. J. Math. Oxford (2) 22 (1971), 173-182.
  3. Characterization of rings using quasiprojective modules, II, Proc. Amer. Math. Soc. 28 (1971), 337-343.
  4. Characterization of rings using quasiprojective modules, III, Proc. Amer. Math. Soc. 31 (1972), 401-408.
  5. Torsion-free covers, Israel J. Math. 15 (1973), 237-256. [with Mark Teply]
  6. Finiteness conditions on filters of left ideals, J. Pure and Appl. Algebra 3 (1973), 251-259. [with Mark Teply]
  7. Dimension de Gabriel et TTK-dimension de modules, C. R. Acad. Sc. Paris 278 (1974), A1603-A1606. [with Jacques Raynaud]
  8. Topologies on the torsion-theoretic spectrum of a non-commutative ring, Pacific J. Math. 51 (1974), 439-450.
  9. A characterization of left semiartinian rings, Bull. Austral. Math. Soc. 11 (1974), 425-428.
  10. Matching torsion and cotorsion theories, Glasgow Math. J. 15 (1974), 176-179.
  11. A Krull-like dimension for noncommutative rings, Israel J. Math. 19 (1974), 297-304.
  12. Modules satisfying both chain conditions with respect to a torsion theory, Proc. Amer. Math. Soc. 52 (1975), 103-108.
  13. On the maximal support of a module, Comm. Algebra 4 (1976), 219-231.
  14. Sheaves over the spectra of certain noncommutative rings, Comm. Algebra 4 (1976), 491-502. [with Jacques Raynaud and Freddy Van Oystaeyen]
  15. Some functors arising from the consideration of torsion theories over noncommutative rings, Bull. Austral. Math. Soc. 15 (1976), 455-460.
  16. Quelques utilisations des formules de Camillo-Zelmanowitz, C. R. Acad. Sc. Paris 286 (1978), A731-A733.
  17. The lattice of torsion theories associated with a ring, in F. Van Oystaeyen (ed.): Ring Theory, Proceedings of the 1977 Antwerp Conference, Marcel Dekker, New York, 1978.
  18. Cotorsionfree modules and colocalizations, Comm. Algebra 6 (1978), 1217-1230. [with Robert Miller]
  19. Rings having a composition series with respect to a torsion theory, Comm. Algebra 7 (1979), 611-623.
  20. Semisimple artinian rings of quotients, Amer. Math. Monthly 86 (1979) 474-475.
  21. Colocalization at idempotent ideals, in F. Van Oystaeyen (ed.): Ring Theory, Proceedings of the 1978 Antwerp Conference, Marcel Dekker, New York, 1979.
  22. Structure sheaves of noncommutative rings, in B. McDonald (ed.): Ring Theory and Algebra III, Marcel Dekker, 1980.
  23. Two sheaf constructions for noncommutative rings, Houston J. Math. 6 (1980), 59-66.
  24. Cocritically nice rings and Boyle's conjecture, Comm. Algebra 8 (1980), 1775-1798. [with Zoltan Papp]
  25. Some torsion theories are compact, Math. Japon. 24 (1980), 635-639.
  26. A note on Lambek's representation sheaf, C. R. Acad. Sci. Canada 2 (1980), 79-82.
  27. Extension of derivations to modules of quotients, Comm. Algebra 9 (1981), 275-281.
  28. On some torsion theories studied by Komarnitskii, Houston J. Math. 7 (1981), 239-247.
  29. Homological independence of injective hulls of simple modules over certain noncommutative rings, Proc. Amer. Math. Soc. 81 (1981), 377-381.
  30. Factorization properties of module homomorphisms, Quaest. Math. 4 (1981), 221-228. [with Guilliam Hauptfleisch]
  31. Cousin complexes of modules over certain noncommutative rings, Comm. Algebra 10 1982), 1155-1171.
  32. Regular sequences of ideals in a noncommutative ring, Hokkaido Math. J. 12 (1983), 41-48.
  33. Derived functors of the torsion functor and local cohomology of noncommutative rings, J. Austral. Math. Soc. Ser. A, 35 (1983), 162-173. [with Jacques Raynaud]
  34. On the endomorphism ring of a module noetherian with respect to a torsion theory, Israel J. Math. 45 (1983), 257-264.
  35. Two dimensions defined on the spectrum of a noncommutative ring Comm. Algebra 11 (1983), 2299-2310.
  36. Rings over which all torsion theories cogenerated by simple modules are jansian, Ann. Univ. Ferrara, Sez. VII Sc. Mat. 29 (1983), 45-54. [with Giuseppe Baccella]
  37. Minimal injective resolutions and Bass invariants of modules over left stable left noetherian rings, J. Pure and Appl. Algebra 31 (1984), 37-46.
  38. On being cotorsionfree, An. Inst. Math. Univ. Nac. Autonoma Mexico 24 (1984), 37-43.
  39. Topologies defined on the torsion-theoretic spectrum of a noncommutative ring: some recent results and open problems , in L. Marki & R. Wiegandt (eds.): Radical Theory, North Holland, Amsterdam, 1985.
  40. An advanced English course for students of mathematics, in J. M. Ulijn & A. K. Pugh (eds.): Reading for Professional Purposes -- Methods and Materials in Teaching Languages, Acco Press, Leuven, 1985. [with Marsha Bensoussan]
  41. On the Cantor-Bendixson-Simmons filtration of a torsion theory, Comm. Algebra 16 (1988), 681-688.
  42. Weak localization and relative Galois theory, in L. Rowen (ed.): Ring Theory 1989, Israel Mathematical Conference Proceedings #1, Weizmann Science Press, Jerusalem, 1989.
  43. Making modules fuzzy, Fuzzy Sets and Systems 32 (1989), 91-94.
  44. Embedding the frame of torsion theories in a larger context -- some constructions in B. Gardner (ed.): Rings, Modules and Radicals, Longman Scientific & Technical, Harlow, 1989.
  45. Separated sets of torsion theories, Math. J. Okayama Univ. 31 (1989), 153-159.
  46. More topologies on the torsion-theoretic spectrum of a ring, Period. Math. Hungar. 21 (1990), 257-260.
  47. On the endomorphsim ring of a module with relative chain conditions, Comm. Algebra 18 (1990), 2595-2609. [with Wu Quanshui]
  48. Semirings for the ring theorist, Rev. Roum. Math. Pures Appl. 35 (1990), 531-540.
  49. QI-filters and tight modules, Comm. Algebra 19 (1991), 2217-2229 [with S. R. Lopez-Permouth]
  50. Information semimodules and absorbing subsemimodules, Journal of Mathematics (Hanoi) 19 (1991), 1-21.
  51. Ducompact filters and prime kernel functors, Comm. Algebra 22 (1994), 4637-4651. [with Ana M. & Jorge Viola-Prioli]
  52. Dijkstra semirings and their use in characterizing fuzzy and toll connectives, Fuzzy Systems and A.I. 3 (1994), 3-14.
  53. A note concerning congruence relations on austere commutative semirings, Indian Science Cruiser 8 (1994), 25-26. [with M. R. Adhikari and M. K. Sen]
  54. P-classes of modules and the topologies they define, in B. J. Garder et al. (eds.): Rings and Radicals, Longman, Harlow, 1996. {A preliminary version appeared in the Proceedings of the First International Algebra Workshop, Kyungpook National University, Taegu, Korea, 1994}
  55. Rough sets and fuzzy sets, Foundations of Computing and Decision Sciences 21 (1996) 31-34.
  56. Semirings of formal power series over hypermonoids: some interesting special cases, Kyungpook Math. J. 36(1996) 107-111.
  57. Semirings and parallel composition of processes, Journal of Automata, Languages, and Combinatorics 1 (1996) 199-217. [with Alexandru Mateescu and Dragos Vaida]
  58. On embedding in complete semirings [with Huaxiong Wang], Comm. Algebra 24 (1996) 2945-2962.
  59. Norms, semirings, and power algebras in S. Parvathi et al (eds.): Proceedings of the Fourth Ramanujan Symposium Algebra and its Applications, Ramanujan Institute for Advanced Study in Mathematics, Madras, 1996.
  60. A framework for consideration of fuzzy Petri nets, Proceedings of "FUZZY '97 International Conference on Fuzzy Logic and Applications", Zikhron Yaakov, 1997.
  61. Some remarks concerning nuclei on semirings, Buletinul Acad. Stiinte Rep. Moldova 2(30) (1999), 53 -- 57.
  62. Semiring-valued quasimetrics on a set of submodules of a module, Math. J. Okayama Univ. 40 (2000), 33 -- 38.
  63. Semiring-valued Korczynski nets, Demonstratio Math. 33 (2000), 21 -- 28.
  64. Power algebras over semifields and their applications, Discussiones Mathematicae -- General Algebra and Applications, 20 (2000), 267 -- 286.
  65. A note on topologies and toll equivalences, Far East Journal of Mathematical Sciences 3 (2001), 445 -- 449.
  66. Weakly UDO semirings and Korczynski nets over them, Soft Computing 6 (2002), 2 -- 5. [with Wu Fuming]
  67. One-sided complements and solutions of the equation aXb=c over semirings, Internat. J. Math. & Math. Sci. 29 (2002), 453 -- 458. [with Sam L. Blyumin]