1 |
J. Abuhlail and C. Lomp, On topological lattices and their applications to module theory, J. Algebra Appl. 15 (2016), no. 3, 1650046, 21 pp. https://doi.org/10.1142/S0219498816500468
DOI
|
2 |
T. Albu, Sur la dimension de Gabriel des modules, in Seminar, F., Pareigis, K.-B., eds. Algebra Beriche. Vol. 21. Munchen: Verlag Uni-Druck, 1974.
|
3 |
D. D. Anderson, Some remarks on multiplication ideals, Math. Japon. 25 (1980), no. 4, 463-469.
|
4 |
D. D. Anderson, Some remarks on multiplication ideals. II, Comm. Algebra 28 (2000), no. 5, 2577-2583. https://doi.org/10.1080/00927870008826980
DOI
|
5 |
M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, Addison-Wesley Publishing Co., Reading, MA, 1969.
|
6 |
J. A. Beachy, M-injective modules and prime M-ideals, Comm. Algebra 30 (2002), no. 10, 4649-4676. https://doi.org/10.1081/AGB-120014660
DOI
|
7 |
L. Bican, P. Jambor, T. Kepka, and P. Nemec, Prime and coprime modules, Fund. Math. 107 (1980), no. 1, 33-45. https://doi.org/10.4064/fm-107-1-33-45
DOI
|
8 |
Z. A. El-Bast and P. F. Smith, Multiplication modules, Comm. Algebra 16 (1988), no. 4, 755-779. https://doi.org/10.1080/00927878808823601
DOI
|
9 |
N. Bourbaki, Commutative Algebra, Berlin, Springer-Verlag, 1998.
|
10 |
J. Dauns, Prime modules, J. Reine Angew. Math. 298 (1978), 156-181. https://doi.org/10.1515/crll.1978.298.156
|
11 |
A. Jawad, A Zariski topology for modules, Comm. Algebra. 39 (2011), no. 11, 4749-4768.
|
12 |
P. T. Johnstone, Stone Spaces, reprint of the 1982 edition, Cambridge Studies in Advanced Mathematics, 3, Cambridge University Press, Cambridge, 1986.
|
13 |
D. Lu and W. Yu, On prime spectrums of commutative rings, Comm. Algebra 34 (2006), no. 7, 2667-2672. https://doi.org/10.1080/00927870600651612
DOI
|
14 |
M. G. Medina-Barcenas, L. Morales-Callejas, L. Sandoval, and A. Zaldivar, Attaching topological spaces to a module (I) : Sobriety and spatiality, J. Pure Appl. Algebra 222 (2018), no. 5, 1026-1048. https://doi.org/10.1016/j.jpaa.2017.06.005
DOI
|
15 |
M. G. Medina-Barcenas, L. A. Zaldivar-Corichi, and M. L. S. Sandoval-Miranda, A generalization of quantales with applications to modules and rings, J. Pure Appl. Algebra 220 (2016), no. 5, 1837-1857. https://doi.org/10.1016/j.jpaa.2015.10.004
DOI
|
16 |
A. Barnard, Multiplication modules, J. Algebra 71 (1981), no. 1, 174-178. https://doi.org/10.1016/0021-8693(81)90112-5
DOI
|
17 |
A. G. Naoum, On the ring of endomorphisms of a finitely generated multiplication module, Period. Math. Hungar. 21 (1990), no. 3, 249-255. https://doi.org/10.1007/BF02651092
DOI
|
18 |
J. C. Perez and J. Rios, Prime submodules and local Gabriel correspondence in [M], Comm. Algebra 40 (2012), no. 1, 213-232. https://doi.org/10.1080/00927872.2010.529095
DOI
|
19 |
F. Raggi, J. Rios, H. Rincon, R. Fernandez-Alonso, and C. Signoret, C. Prime and irreducible preradicals, J. Algebra Appl. 4 (2005), no. 4, 451-466. https://doi.org/10.1142/S0219498805001290
DOI
|
20 |
J. Picado and A. Pultr, Frames and Locales, Frontiers in Mathematics, Birkhauser/Springer Basel AG, Basel, 2012. https://doi.org/10.1007/978-3-0348-0154-6
|
21 |
F. Raggi, J. Rios, H. Rincon, R. Fernandez-Alonso, and C. Signoret, Semiprime preradicals, Comm. Algebra 37 (2009), no. 8, 2811-2822. https://doi.org/10.1080/00927870802623476
DOI
|
22 |
K. I. Rosenthal, Quantales and Their Applications, Pitman Research Notes in Mathematics Series, 234, Longman Scientific & Technical, Harlow, 1990.
|
23 |
N. Schwartz and M. Tressl, Elementary properties of minimal and maximal points in Zariski spectra, J. Algebra 323 (2010), no. 3, 698-728. https://doi.org/10.1016/j.jalgebra.2009.11.003
DOI
|
24 |
P. F. Smith, Some remarks on multiplication modules, Arch. Math. (Basel) 50 (1988), no. 3, 223-235. https://doi.org/10.1007/BF01187738
DOI
|
25 |
B. Stenstrom, Rings of Quotients, Graduate Texts in Mathematics, New York: Springer-Verlag, 1975.
|
26 |
J. C. Perez, M. Medina, J. Rios, and A. Zaldivar, On semiprime Goldie modules, Comm. Algebra 44 (2016), no. 11, 4749-4768. https://doi.org/10.1080/00927872.2015.1113290
DOI
|
27 |
A. A. Tuganbaev, Multiplication modules, J. Math. Sci. (N. Y.) 123 (2004), no. 2, 3839-3905. https://doi.org/10.1023/B:JOTH.0000036653.76231.05
DOI
|
28 |
I. E. Wijayanti and R. Wisbauer, On coprime modules and comodules, Comm. Algebra 37 (2009), no. 4, 1308-1333. https://doi.org/10.1080/00927870802466926
DOI
|
29 |
R. Wisbauer, Modules and algebras: bimodule structure and group actions on algebras, Pitman Monographs and Surveys in Pure and Applied Mathematics, 81, Longman, Harlow, 1996.
|
30 |
R. Wisbauer, Foundations of Module and Ring Theory, revised and translated from the 1988 German edition, Algebra, Logic and Applications, 3, Gordon and Breach Science Publishers, Philadelphia, PA, 1991.
|
31 |
G. Zhang, W. Tong, and F. Wang, Spectrum of a noncommutative ring, Comm. Algebra 34 (2006), no. 8, 2795-2810. https://doi.org/10.1080/00927870600636936
DOI
|