[1] J Abuhlail. A dual zariski topology for modules. Topology Appl, 158(3):457-467, 2011.
REFERENCES
229
[2] J Abuhlail. Zariski topologies for coprime and second submodules. 22(01):47-72,
2015.
[3] H Ansari-Toroghy and F Farshadifar. The dual notion of multiplication modules.
Taiwanese J. Math, 11(4):1189-1201, 2007.
[4] H Ansari-Toroghy and F Farshadifar. On the dual notion of prime submodules.
19(spec01):1109-1116, 2012.
[5] H Ansari-Toroghy and F Farshadifar. On the dual notion of prime submodules (ii). Mediterr. J. Math, 9(2):327-336, 2012.
[6] H Ansari-Toroghy and F Farshadifar. On the dual notion of prime radicals of sub-modules. Asian-European Journal ofMathematics, 6(02):1350024 (11 pages), 2013.
[7] H Ansari-Toroghy and F Farshadifar. The zariski topology on the second spectrum
of a module. Algebra Colloq, 21(04):671-688, 2014.
[8] H Ansari-Toroghy, S Keyvani, and F Farshadifar. The zariski topology on the second spectrum of a module (ii). to appear in Bull. Malays. Math. Sci. Soc.
[9] H Ansari-Toroghy and R Ovlyaee-Sarmazdeh. On the prime spectrum of x-injective
modules. Comm. Algebra, 38(7):2606-2621, 2010.
[10] M F Atiyah and I G Macdonald. Introduction to commutative algebra. 1969.
[11] H Bass. Finitistic dimension and a homological generalization of semi-primary rings.
Trans. Amer. Math. Soc, 95(3):466-488, 1960.
[12] M Behboodi and M R Haddadi. Classical zariski topology of modules and spectral spaces i. Int. Electron. J. Algebra, 4:104-130, 2008.
[13] N Bourbaki. Commutative algebra. 1972.
[14] S Ceken and M Alkan. On the second spectrum and the second classical zariski topology of a module. J. Algebra Appl, 14(10):1550150 (13 pages), 2015.
[15] S Ceken, M Alkan, and P F Smith. The dual notion of the prime radical of a module.
J. Algebra, 392:265-275, 2013.
[16] S Ceken, M Alkan, and P F Smith. Second modules over noncommutative rings.
Comm. Algebra, 41(1):83-98, 2013.
[17] F Farshadifar. Modules with noetherian second spectrum. Journal of Algebra and
Related Topics, 1(1):19-30, 2013.
[18] L Fuchs, W Heinzer, and B Olberding. Commutative ideal theory without finiteness conditions: Irreducibility in the quotient filed. Abelian groups, rings, modules, and homological algebra, Lect. Notes Pure Appl. Math, 249:121-145, 2006.
REFERENCES
230
[19] M Hochster. Prime ideal structure in commutative rings. Trans. Amer. Math. Soc,
142:43-60, 1969.
[20] M Hochster. The minimal prime spectrum of a commutative ring. Canad. J. Math,
23(5):749-758, 1971.
[21] E Kunz. Introduction to commutative algebra and algebraic geometry. Modern Birkhâuser Classics, 2013.
[22] H Li and K Shum. On a problem of spectral posets. J. Appl. Algebra Discrete Struct,
1(3):203-209, 2003.
[23] C P Lu. Modules with noetherian spectrum. Comm. Algebra, 38(3):807-828, 2010.
[24] R L McCasland, M E Moore, and P F Smith. On the spectrum of a module over a commutative ring. Comm. Algebra, 25(1):79-103, 1997.
[25] L Melkersson and P Schenzel. The co-localization of an artinian module. Proc.
Edinburgh math, 38(01):121-131, 1995.
[26] N V Sanh, L P Thao, N F Al-Mayahi, and K P Shum. Zariski topology of prime spectrum of a module. Proceedings Of The International Conference On Algebra 2010: Advances in Algebraic Structures, pages 461-477, 2011.
[27] B T Sims. Fundamentals oftopology. MacMillan publishing Co. Inc, 1976.
[28] S Yassemi. Maximal elements of support and cosupport. http://streaming.ictp.it /preprints/ P/97/051.pdf, 1997.
[29] S Yassemi. The dual notion of the cyclic modules. Kobe. J. Math, 15(1):41-46, 1998.
[30] S Yassemi. The dual notion of prime submodules. Arch. Math. (Brno), 37(4):273-278,
2001.
Thank you for copying data from http://www.arastirmax.com