References
- Aliabad, A. R., Tayarzadeh, N., Taherifar, A. (2016). α-Baer rings and some related concepts via C(X). Questiones Mathematicae 39(3):401–419. DOI: 10.2989/16073606.2015.1073190.
- Bajor, G., Ziembowski, M. (2019). Annihilator condition does not pass to polynomials and power series. J. Pure Appl. Algebra 223(9):3869–3878. DOI: 10.1016/j.jpaa.2018.12.009.
- Birkenmeier, G. F., Kim, J. Y., Park, J. K. (2000). On polynomial extensions of principally quasi-Baer rings. Kyungpook Math. J. 40:247–253.
- Birkenmeier, G. F., Ghirati, M., Taherifar, A. (2015). When is a sum of annihilator ideals an annihilator ideal? Commun. Algebra 43(7):2690–2702. DOI: 10.1080/00927872.2014.882931.
- Gillman, L., Jerison, M. (1976). Rings of Continuous Functions. New York, NY: Springer.
- Henriksen, M., Jerison, M. (1965). The space of minimal prime ideals of a commutative ring. Trans. Amer. Math. Soc. 115:110–130. DOI: 10.1090/S0002-9947-1965-0194880-9.
- Hirano, Y. (2002). On annihilator ideals of a polynomial ring over a noncommutative ring. J. Pure Appl. Algebra 168(1):45–52. DOI: 10.1016/S0022-4049(01)00053-6.
- Hong, C. Y., Kim, N. K., Lee, Y., Ryu, S. J. (2007). Rings with Property (A) and their extensions. J. Algebra 315(2):612–628. DOI: 10.1016/j.jalgebra.2007.01.042.
- Hong, C. Y., Kim, N. K., Lee, Y., Nielsen, P. P. (2009). The minimal prime spectrum of rings with annihilator conditions. J. Pure Appl. Algebra 213(7):1478–1488. DOI: 10.1016/j.jpaa.2009.01.005.
- Kaplansky, L. (1965). Rings of Operators, Mathematics Lecture Notes Series. New York: Benjamin.
- Krempa, J. (1996). Some examples of reduced rings. Algebra Colloq. 3(4):289–300.
- Lam, T. Y. (1991). A First Course in Non-Commutative Rings. New York: Springer-Verlag.
- Lam, T. Y. (1998). Lectures on Modules and Rings. New York: Springer-Verlag.
- Shin, G. (1973). Prime ideals and sheaf representation of a pseudo symmetric ring. Trans. Amer. Math. Soc. 184:43–60. DOI: 10.1090/S0002-9947-1973-0338058-9.
- Steinberg, S. A. (2010). Lattice Ordered Ring and Module. London: Springer.
- Taherifar, A. (2016). Annihilator conditions related to the quasi-Baer Condition. Hacet. Math. Stat. 45(1):95–105. DOI: 10.15672/HJMS.20164512485.
- Taherifar, A. (2014). A characterization of Baer-ideals. Journal of Algebraic Systems 2(1):37–51.
- Taherifar, A. (2014). Intersections of essential minimal prime ideals. Comment. Math. Univ. Carolina 55(1):121–130.
- Taherifar, A. (2014). Some new classes of topological spaces and annihilator ideals. Topol. Appl. 165:84–97. DOI: 10.1016/j.topol.2014.01.017.