참고문헌
- D. D. Anderson and V. Camillo, Armendariz rings and Gaussian rings, Comm. Algebra 26 (1998), no. 7, 2265-2272. https://doi.org/10.1080/00927879808826274
- R. Antoine, Nilpotent elements and Armendariz rings, J. Algebra 319 (2008), no. 8, 3128-3140. https://doi.org/10.1016/j.jalgebra.2008.01.019
- E. P. Armendariz, A note on extensions of Baer and p.p.-rings, J. Austral. Math. Soc. 18 (1974), 470-473. https://doi.org/10.1017/S1446788700029190
- J. A. Beachy and W. D. Blair, Rings whose faithful left ideals are cofaithful, Pacific J. Math. 58 (1975), no. 1, 1-13. https://doi.org/10.2140/pjm.1975.58.1
- H. Cartan and E. Eilenberg, Homological Algebra, Princeton Landmarks inMathematics, originally published in 1956, Princeton: Princeton University Press, 1956.
- C. Faith, Rings with zero intersection property on annihilators: zip rings, Publ. Mat. 33 (1989), no. 2, 329-332. https://doi.org/10.5565/PUBLMAT_33289_09
- S. Hizem, A note on nil power serieswise Armendariz rings, Rendiconti del Circolo Mathematico di Palermo 59 (2010), no. 1, 87-99. https://doi.org/10.1007/s12215-010-0005-3
- N. K. Kim, K. H. Lee, and Y. Lee, Power series rings satisfying a zero divisor property, Comm. Algebra 34 (2006), no. 6, 2205-2218. https://doi.org/10.1080/00927870600549782
- T. Y. Lam, A First Course in Noncommutative Rings, Graduate Texts in Mathematics, Springer-Verlag, Berlin, 1991.
- Z. K. Liu, Special properties of rings of generalized power series, Comm. Algebra 32 (2004), no. 8, 3215-3226. https://doi.org/10.1081/AGB-120039287
- Z. K. Liu, On weak Armendariz rings, Comm. Algebra 34 (2006), no. 7, 2607-2616. https://doi.org/10.1080/00927870600651398
- L. Ouyang, Ore extensions of weak zip rings, Glasg. Math. J. 51 (2009), no. 3, 525-537. https://doi.org/10.1017/S0017089509005151
- M. B. Rege and S. Chhawchharia, Armendariz rings, Proc. Japan Acad. Ser. A Math. Sci. 73 (1997), no. 1, 14-17.
- P. Ribenboim, Rings of generalized power series: Nilpotent elements, Abh. Math. Sem. Univ. Hamburg 61 (1991), 15-33. https://doi.org/10.1007/BF02950748
- P. Ribenboim, Noetherian rings of generalized power series, J. Pure Appl. Algebra 79 (1992), no. 3, 293-312. https://doi.org/10.1016/0022-4049(92)90056-L
- P. Ribenboim, Semisimple rings and von Neumann regular rings of generalized power series, J. Algebra 198 (1997), no. 2, 327-338. https://doi.org/10.1006/jabr.1997.7063