References
- A. Ait Ouahi, S. Bouchiba, and M. El-Arabi, On proper strong Property (A) for rings and modules, J. Alg. Appl., to appear.
- D.D. Anderson and S. Chun, The set of torsion elements of a module, Commun. Algebra 42 (2014), 1835–1843. doi: https://doi.org/10.1080/00927872.2013.796555
- D.D. Anderson and S. Chun, Zero-divisors, torsion elements, and unions of annihilators, Commun. Algebra 43 (2015), 76–83. doi: https://doi.org/10.1080/00927872.2014.897198
- D.D. Anderson and S. Chun, Annihilator conditions on modules over commutative rings, J. Alg. Appl. 16(7) (2017), 1750143. doi: https://doi.org/10.1142/S0219498817501432
- D.D. Anderson and S. Chun, McCoy modules and related modules over commutative rings, Commun. Algebra 45(6) (2017), 2593–2601. doi: https://doi.org/10.1080/00927872.2016.1233218
- Y. Arssi and S. Bouchiba, On Property (A) of rings and modules along an ideal, submitted.
- S. Bouchiba, On the vanishing of annihilators of modules, Commun. Algebra 48(2) (2020), 879–890. doi: https://doi.org/10.1080/00927872.2019.1668004
- S. Bouchiba and M. El-Arabi, On Property (A) for modules over direct products of rings, Quaestiones Mathematicae, to appear.
- S. Bouchiba, M. El-Arabi, and M. Khaloui, When is the idealization R ⋈ M an A-ring?, J. Alg. Appl., to appear.
- M. D’Anna, A construction of Gorenstein rings, J. Algebra 306 (2006), 507–519. doi: https://doi.org/10.1016/j.jalgebra.2005.12.023
- M. D’Anna and M. Fontana, Amalgamated duplication of a ring along a multiplicative-canonical ideal, Ark. Mat. 45(2) (2007), 241–252. doi: https://doi.org/10.1007/s11512-006-0038-1
- A.Y. Darani, Notes on annihilator conditions in modules over commutative rings, An. Stinnt. Univ. Ovidius Constanta 18 (2010), 59–72.
- D.E. Dobbs and J. Shapiro, On the strong (A)-ring of Mahdou and Hassani, Mediterr. J. Math. 10 (2013), 1995–1997. doi: https://doi.org/10.1007/s00009-013-0276-y
- C. Faith, Annihilator ideals, associated primes, and Kasch-McCoy commutative rings, Commun. Algebra 19 (1991), 1867–1892. doi: https://doi.org/10.1080/00927879108824235
- C.Y. Hong, N.K. Kim, Y. Lee, and S.T. Ryu, Rings with Property (A) and their extensions, J. Algebra 315 (2007), 612–628. doi: https://doi.org/10.1016/j.jalgebra.2007.01.042
- J.A. Huckaba, Commutative Rings with Zero Divisors, Marcel Dekker, Inc., New York and Basel, 1988.
- J.A. Huckaba and J.M. Keller, Annihilation of ideals in commutative rings, Pacific J. Math. 83 (1979), 375–379. doi: https://doi.org/10.2140/pjm.1979.83.375
- I. Kaplansky, Commutative Rings, Polygonal Publishing House, Washington and New Jersey, 1994.
- T.G. Lucas, Two annihilator conditions: Property (A) and (A.C.), Commun. Algebra 14 (1986), 557–580. doi: https://doi.org/10.1080/00927878608823325
- N. Mahdou and A.R. Hassani, On strong (A)-rings, Mediterr. J. Math. 9 (2012), 393–402. doi: https://doi.org/10.1007/s00009-010-0106-4
- N. Mahdou and M. Moutui, On (A)-rings and (SA)-rings issued from amalgamations, Studia Scientiarum Mathematicarum Hungarica 55(2) (2018), 270–279. doi: https://doi.org/10.1556/012.2018.55.2.1397
- Y. Quentel, Sur la compacité du spectre minimal d’un anneau, Bull. Soc. Math. France 99 (1971), 265–272. doi: https://doi.org/10.24033/bsmf.1720