Acknowledgement
The author wishes to thank Dr. U. S. Chakraborty for his valuable comments and suggestions.
References
- N. Agayev, A. Harmanci, and S. Halicioglu, Extended Armendariz rings, Algebras Groups Geom. 26 (2009), no. 4, 343-354.
- H. E. Bell, Near-rings in which each element is a power of itself, Bull. Austral. Math. Soc. 2 (1970), no. 3, 363-368. https://doi.org/10.1017/S0004972700042052
- A. Bhattacharjee and U. S. Chakraborty, Ring endomorphisms satisfying the central reversible property, Proc. Indian Acad. Sci. Math. Sci. 130 (2020), no. 1, Paper No. 12, 22 pp. https://doi.org/10.1007/s12044-019-0548-y
- U. S. Chakraborty, On some classes of reflexive rings, Asian-Eur. J. Math. 8 (2015), no. 1, 1550003, 15 pp. https://doi.org/10.1142/S1793557115500035
- W. Chen, Central reversible rings, Acta Math. Sinica (Chinese Ser.) 60 (2017), no. 6, 1057-1064.
- P. M. Cohn, Reversible rings, Bull. London Math. Soc. 31 (1999), no. 6, 641-648. https://doi.org/10.1112/S0024609399006116
- C. Huh, H. K. Kim, N. K. Kim, and Y. Lee, Basic examples and extensions of symmetric rings, J. Pure Appl. Algebra 202 (2005), no. 1-3, 154-167. https://doi.org/10.1016/j.jpaa.2005.01.009
- C. Huh, Y. Lee, and A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra 30 (2002), no. 2, 751-761. https://doi.org/10.1081/AGB-120013179
- D. W. Jung, N. K. Kim, Y. Lee, and S. J. Ryu, On properties related to reversible rings, Bull. Korean Math. Soc. 52 (2015), no. 1, 247-261. https://doi.org/10.4134/BKMS.2015.52.1.247
- G. Kafkas-Demirci, B. Ungor, S. Halicioglu, and A. Harmanci, Generalized symmetric rings, Algebra Discrete Math. 12 (2011), no. 2, 72-84.
- N. K. Kim and Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra 185 (2003), no. 1-3, 207-223. https://doi.org/10.1016/S0022-4049(03)00109-9
- T. K. Kwak and Y. Lee, Reflexive property of rings, Comm. Algebra 40 (2012), no. 4, 1576-1594. https://doi.org/10.1080/00927872.2011.554474
- J. Lambek, On the representation of modules by sheaves of factor modules, Canad. Math. Bull. 14 (1971), no. 3, 359-368. https://doi.org/10.4153/CMB-1971-065-1
- G. Mason, Reflexive ideals, Comm. Algebra 9 (1981), no. 17, 1709-1724. https://doi.org/10.1080/00927878108822678
- T. Ozen, N. Agayev, and A. Harmanci, On a class of semicommutative rings, Kyungpook Math. J. 51 (2011), no. 3, 283-291. https://doi.org/10.5666/KMJ.2011.51.3.283