ON COMMUTATIVITY OF SKEW POLYNOMIALS AT ZERO |
Jin, Hai-Lan
(Department of Mathematics Yanbian University)
Kaynarca, Fatma (Department of Mathematics Afyon Kocatepe University) Kwak, Tai Keun (Department of Mathematics Daejin University) Lee, Yang (Department of Mathematics Pusan National University) |
1 | W. Chen and W. Tong, A note on skew Armendariz rings, Comm. Algebra 33 (2005), no. 4, 1137-1140. DOI |
2 | P. M. Cohn, Reversible rings, Bull. London Math. Soc. 32 (1999), no. 6, 641-648. DOI |
3 | J. L. Dorroh, Concerning adjunctions to algebras, Bull. Amer. Math. Soc. 38 (1932), no. 2, 85-88. DOI |
4 | K. R. Goodearl and R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, Cambridge University Press, New York, 1989. |
5 | E. Hashemi and A. Moussavi, Polynomial extensions of quasi-Baer rings, Acta Math. Hungar. 107 (2005), no. 3, 207-224. DOI |
6 | C. Y. Hong, N. K. Kim, and T. K. Kwak, Ore extensions of Baer and p.p.-rings, J. Pure Appl. Algebra 151 (2000), no. 3, 215-226. DOI |
7 | C. Y. Hong, N. K. Kim, and T. K. Kwak, On skew Armendariz rings, Comm. Algebra 31 (2003), no. 1, 103-122. DOI |
8 | C. Y. Hong, N. K. Kim, and T. K. Kwak, Extensions of generalized reduced rings, Algebra Colloq. 12 (2005), no. 2, 229-240. DOI |
9 | D. A. Jordan, Bijective extensions of injective rings endomorphism, J. London Math. Soc. 25 (1982), no. 3, 435-448. |
10 | C. Huh, Y. Lee, and A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra 30 (2002), no. 2, 751-761. DOI |
11 | N. K. Kim, T. K. Kwak, and Y. Lee, Insertion-of-Factors-Property skewed by ring endomorphisms, Taiwanese J. Math. 18 (2014), no. 3, 849-869. DOI |
12 | N. K. Kim and Y. Lee, Armendariz rings and reduced rings, J. Algebra 223 (2000), no. 2, 477-488. DOI |
13 | N. K. Kim and Y. Lee, Extension of reversible rings, J. Pure Appl. Algebra 185 (2003), no. 1-3, 207-223. DOI |
14 | J. Krempa, Some examples of reduced rings, Algebra Colloq. 3 (1996), no. 4, 289-300. |
15 | J. Lambek, Lectures on Rings and Modules, Blaisdell Publishing Company, Waltham, 1966. |
16 | A. R. Nasr-Isfahani and A. Moussavi, Skew Laurent polynomial extensions of Baer and p.p.-rings, Bull. Korean Math. Soc. 46 (2009), no. 6, 1041-1050. DOI |
17 | Z. Peng, Q. Gu, and L. Zhao, On skew strongly reversible rings relative to a monoid, J. Math. Research Appl. 36 (2016), 43-50. |
18 | M. B. Rege and S. Chhawchharia, Armendariz Rings, Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), no. 1, 14-17. DOI |
19 | G. Yang and Z. K. Liu, On strongly reversible rings, Taiwanese J. Math. 12 (2008), no. 1, 129-136. DOI |
20 | A. B. Singh, P. Juyal, and M. R. Khan, Strongly reversible rings relative to monoid, J. Pure Appl. Math. 63 (2010), no. 1, 1-7. DOI |
21 | E. P. Armendariz, A note on extensions of Baer and P.P.-rings, J. Aust. Math. Soc. 18 (1974), 470-473. DOI |
22 | M. Baser, C. Y. Hong, and T. K. Kwak, On extended reversible rings, Algebra Colloq. 16 (2009), no. 1, 37-48. DOI |