INSERTION-OF-FACTORS-PROPERTY ON SKEW POLYNOMIAL RINGS |
BASER, MUHITTIN
(DEPARTMENT OF MATHEMATICS KOCATEPE UNIVERSITY)
HICYILMAZ, BEGUM (DEPARTMENT OF MATHEMATICS KOCATEPE UNIVERSITY) KAYNARCA, FATMA (DEPARTMENT OF MATHEMATICS KOCATEPE UNIVERSITY) KWAK, TAI KEUN (DEPARTMENT OF MATHEMATICS DAEJIN UNIVERSITY) LEE, YANG (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY) |
1 | M. Baser, A. Harmanci, and T. K. Kwak, Generalized semicommutative rings and their extensions, Bull. Korean Math. Soc. 45 (2008), no. 2, 285-297. DOI ScienceOn |
2 | M. Baser, T. K. Kwak, and Y. Lee, The McCoy condition on skew polynomial rings, Comm. Algebra 37 (2009), no. 11, 4026-4037. DOI ScienceOn |
3 | H. E. Bell, Near-rings in which each element is a power of itself, Bull. Austral. Math. Soc. 2 (1970), 363-368. DOI |
4 | P. M. Cohn, Reversible rings, Bull. London Math. Soc. 31 (1999), no. 6, 641-648. DOI |
5 | J. L. Dorroh, Concerning adjunctins to algebras, Bull. Amer. Math. Soc. 38 (1932), 85-88. DOI |
6 | K. R. Goodearl and R. B. Warfield, Jr., An Introduction to Noncommutative Noetherian Rings, Cambridge University Press, 1989. |
7 | Y. Hirano, On the uniqueness of rings of coefficients in skew polynomial rings, Publ. Math. Debrecen 54 (1999), no. 3-4, 489-495. |
8 | 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 ScienceOn |
9 | C. Y. Hong, N. K. Kim, and T. K. Kwak, On skew Armendariz rings, Comm. Algebra 31 (2003), no. 1, 103-122. DOI ScienceOn |
10 | C. Y. Hong, N. K. Kim, and Y. Lee, Skew polynomial rings over semiprime rings, J. Korean Math. Soc. 47 (2010), no. 5, 879-897. DOI ScienceOn |
11 | C. Y. Hong, N. K. Kim, and Y. Lee, Extensions of McCoy's theorem, Glasgow Math. J. 52 (2010), no. 1, 155-159. DOI ScienceOn |
12 | C. Y. Hong, T. K. Kwak, and S. T. Rizvi, Extensions of generalized Armendariz rings, Algebra Colloq. 13 (2006), no. 2, 253-266. DOI |
13 | C. Huh, Y. Lee, and A. Smoktunowicz, Armendariz rings and semicommutative rings, Comm. Algebra 30 (2002), no. 2, 751-761. DOI ScienceOn |
14 | D. A. Jordan, Bijective extensions of injective rings endomorphism, J. London Math. Soc. 25 (1982), no. 3, 435-448. |
15 | F. Kaynarca, T. K. Kwak, and Y. Lee, Reversibility of skew polynomial rings (submitted). |
16 | N. K. Kim, T. K. Kwak, and Y. Lee, Insertion-of-factors-property skewed by ring en- domorphisms, Taiwanese J. Math. 18 (2014), no. 3, 849-869. DOI |
17 | N. K. Kim and Y. Lee, Extensions of reversible rings, J. Pure Appl. Algebra 185 (2003), no. 1-3, 207-223. DOI ScienceOn |
18 | J. Krempa, Some examples of reduced rings, Algebra Colloq. 3 (1996), no. 4, 289-300. |
19 | T. K. Kwak, Y. Lee, and S. J. Yun, The Armendariz property on ideals, J. Algebra 354 (2012), 121-135. DOI ScienceOn |
20 | J. Lambek, Lectures on Rings and Modules, Blaisdell Publishing Company, Waltham, 1966. |
21 | N. H. McCoy, Remarks on divisors of zero, Amer. Math. Monthly 49 (1942), 286-295. DOI ScienceOn |
22 | L. Motais de Narbonne, Anneaux semi-commutatifs et unis riels anneaux dont les id aux principaux sont idempotents, Proceedings of the 106th National Congress of Learned Societies (Perpignan, 1981), 71-73, Bib. Nat., Paris, 1982. |
23 | 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 |
24 | P. P. Nielsen, Semi-commutativity and the McCoy condition, J. Algebra 298 (2006), 134-141. DOI ScienceOn |
25 | G. Shin, Prime ideals and sheaf representation of a pseudo symmetric ring, Trans. Amer. Math. Soc. 184 (1973), 43-60. DOI |
26 | M. B. Rege and S. Chhawchharia, Armendariz rings, Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), no. 1, 14-17. DOI |
![]() |