[1] G. F. Birkenmeier, J. Y. Kim and J. K. Park, Principally quasi-Baer rings, Comm. Algebra, 29 (2001), 639-660.
[2] W. E. Clark, Twistedmatrix units semigroup algebras, DukeMath. J., 34 (1967), 417-423.
[3] D. E. Fields, Zero divisors and nilpotent elements in power series rings, Proc. Amer. Math. Soc., (3) 27 (1971), 427-433.
[4] J. A. Fraser and W. K. Nicholson, Reduced p.p.-rings, Math. Japonica, 34 (1989), 715-725.
[5] M. Habibi, A new class of non-semiprime quasi-Armendariz rings, Stud. Sci. Math. Hung., (2) 51 (2014), 165-171.
[6] M. Habibi and A. Moussavi, Annihilator properties of skew monoid rings, Comm. Algebra, (2) 42 (2014), 842-852.
[7] M. Habibi, A. Moussavi and R. Manaviyat, On quasi-Armendariz skew monoid rings, J. New Researches Math., (24) 6 (2020), 45-52.
[8] M. Habibi and K. Paykan, On skew generalized triangular matrix rings, J. Algebraic Systems, (1) 13 (2025), 151-162.
[9] M. Habibi, K. Paykan and H. Arianpoor, On generalized quasi Baer skew monoid rings, J. Algebra Appl., ( 6) 23 (2024).
[10] C. Y. Hong, N. K. Kim and Y. Lee, Extensions of McCoy’s theorem, Glasg. Math. J., (1) 52 (2010), 155-159.
[11] I. Kaplansky, Rings of Operators, W. A. Benjamin, 1968.
[12] A. Karimimansoub and A. Moussavi, Idempotent elements and uniquely clean property of skew monoid rings, Stud. Sci. Math. Hung., (1) 55 (2018), 23-40.
[13] A. Karimimansoub, A. Moussavi and M. Habibi, Strongly clean elements of a skew monoid rings, Int. Electron.J. Algebra, 21 (2017), 164-179.
[14] A. Karimimansoub and M. R. Sadeghi, Strongly clean matrix rings over a skew monoid ring, Algebra Colloq., (3) 30 (2023), 361-370.
[15] A. Leroy and J. Matczuk, Zip property of certain ring extensions, J. Pure Appl. Algebra, (1) 220 (2016), 335-345.
[16] Z. K. Liu and R. Y. Zhao, A generalization of PP-rings and p.q.-Baer rings, Glasg. Math. J., (2) 48 (2006), 217-229.
[17] N. H. McCoy, Remarks on divisors of zero, Amer. Math. Monthly, 49 (1942), 286-295.
[18] N. H. McCoy, Annihilators in polynomial rings, Amer. Math. Monthly, 64 (1957), 28-29.
[19] P. P. Nielsen, Semi-commutativity and the McCoy condition, J. Algebra , 298 (2006), 134-141.
[20] K. Paykan and M. Habibi, Further results on skew monoid rings of a certain free monoid, Cogent math. stat., 5 (2018).
[21] H. Tominaga, On s-unital rings, Math. J. Okayama Univ., 18 (1976), 117-134.
[22] L. Weiner, Concerning a theorem of McCoy, Amer. Math. Monthly, 59 (1952), 336-337.
)