Algebraic and topological aspects of quasi-prime ideals
Subject Areas : Commutative algebraM. Aghajani 1 , A. Tarizadeh 2
1 - Department of Mathematics, Faculty of Basic Sciences, P. O. Box 55136-553, University of Maragheh, Maragheh, Iran
2 - Department of Mathematics, Faculty of Basic Sciences, P. O. Box 55136-553, University of Maragheh, Maragheh, Iran
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[1] M. Aghajani, A. Tarizadeh, Characterizations of Gelfand rings specially clean rings and their dual rings, Results Math 75, 2020:125.
[2] A. J. de Jong et al., Stacks Project, see http://stacks.math.columbia.edu.
[3] C. A. Finocchiaro, M. Fontana, D. Spirito, A topological version of Hilbert’s Nullstellensatz, J. Algebra 461 (2016), 25-41.
[4] L. Fuchs, On quasi-primary ideals, Acta Sci. Math. 11 (3) (1947), 174-183.
[5] M. Hochster, Prime ideal structure in commutative rings, Trans. Amer Math. Soc. 142 (1969), 43-60.
[6] K. Schwede, Gluing schemes and a scheme without closed points, Recent progress in arithmetic and algebraic geometry, Contemp. Math. 386 (2005), 157-172.
[7] A. Tarizadeh, Flat topology and its dual aspects, Comm. Algebra 47 (1) (2019), 195-205.
[8] A. Tarizadeh, Zariski compactness of minimal spectrum and flat compactness of maximal spectrum, J. Algebra Appl. 18, 2019:1950202.