Bulletin of the American Mathematical Society

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Book Information:

Authors: Jonathan S. Golan and Harold Simmons
Title: Derivatives, nuclei and dimensions on the frame of torsion theories
Additional book information: Pitman Research Notes in Mathematics Series no. 188, Longman Scientific & Technical, Harlow, U.K. (co-published in the United States with John Wiley & Sons Inc., New York), 1988, 120 pp., $44.95. ISBN 0-582-03448-5.

F. Borceux and G. M. Kelly, On locales of localizations, J. Pure Appl. Algebra 46 (1987), no. 1, 1–34. MR 894389, DOI 10.1016/0022-4049(87)90040-5

Jonathan S. Golan, Localization of noncommutative rings, Pure and Applied Mathematics, No. 30, Marcel Dekker, Inc., New York, 1975. MR 0366961

Jonathan S. Golan, Torsion theories, Pitman Monographs and Surveys in Pure and Applied Mathematics, vol. 29, Longman Scientific & Technical, Harlow; John Wiley & Sons, Inc., New York, 1986. MR 880019

4.

T. J. Hodges, Review of [3], Bull. Amer. Math. Soc. (N.S.) 20 (1989), 148-151.

John R. Isbell, Atomless parts of spaces, Math. Scand. 31 (1972), 5–32. MR 358725, DOI 10.7146/math.scand.a-11409

Peter T. Johnstone, Stone spaces, Cambridge Studies in Advanced Mathematics, vol. 3, Cambridge University Press, Cambridge, 1986. Reprint of the 1982 edition. MR 861951

Joachim Lambek, Lectures on rings and modules, 2nd ed., Chelsea Publishing Co., New York, 1976. MR 0419493

H. Simmons, A framework for topology, Logic Colloquium ’77 (Proc. Conf., Wrocław, 1977) Studies in Logic and the Foundations of Mathematics, vol. 96, North-Holland, Amsterdam-New York, 1978, pp. 239–251. MR 519819

H. Simmons, An algebraic version of Cantor-Bendixson analysis, Categorical aspects of topology and analysis (Ottawa, Ont., 1980) Lecture Notes in Math., vol. 915, Springer, Berlin-New York, 1982, pp. 310–323. MR 659900

Harold Simmons, Near-discreteness of modules and spaces as measured by Gabriel and Cantor, J. Pure Appl. Algebra 56 (1989), no. 2, 119–162. MR 979667, DOI 10.1016/0022-4049(89)90141-2

J. T. Stafford, On the stable range of right Noetherian rings, Bull. London Math. Soc. 13 (1981), no. 1, 39–41. MR 599638, DOI 10.1112/blms/13.1.39

1.

F. Borceux and G. M. Kelly, On locales of localizations, J. Pure Appl. Algebra 46 (1987), 1-34. MR 0894389

2.

J. S. Golan, Localization of noncommutative rings, Marcel Dekker, New York, 1975. MR 366961

3.

J. S. Golan, Torsion theories, Longman, 1986. MR 880019

4.

T. J. Hodges, Review of [3], Bull. Amer. Math. Soc. (N.S.) 20 (1989), 148-151.

5.

J. R. Isbell, Atomless parts of spaces, Math. Scand. 31 (1972), 5-32. MR 358725

6.

P. T. Johnstone, Stone spaces, Cambridge Univ. Press, 1983. MR 861951

7.

J. Lambek, Lectures on rings and modules, Blaisdell, 1966; republished by Chelsea Publishing Co., 1976. MR 419493

8.

H. Simmons, A framework for topology, Logic Colloquium 77, North-Holland, 1978, pp. 239-251. MR 519819

9.

H. Simmons, An algebraic version of Cantor-Bendixson analysis, Categorical Aspects of Topology and Analysis, Lecture Notes in Math., vol. 915, Springer-Verlag, New York, 1982, pp. 310-323. MR 659900

10.

H. Simmons, Near-discreteness of modules and spaces as measured by Gabriel and Cantor, J. Pure Appl. Algebra 56 (1989), 119-162. MR 979667

11.

J. T. Stafford, On the stable range of right noetherian rings, Bull. London Math. Soc. 13 (1981), 39-41. MR 599638