Weak PS-rings over Skew Hurwitz Series

[1] S. Annin. Associated primes over ore extension rings. J. Algebr. Appl., 3:193{205,
2004.
[2] E. Armendariz. A note on extensions of Baer and p.p.-ring. J. Aust. Math. Soc.,
18:470{473, 1974.
[3] M. Farahat and N. Al-Harthy. PS-modules of generalized Mal'cev-Neumann series
rings. Hacettepe Journal of Mathematics and Statistics, 46(5):1{6, 2017.
[4] M. Farahat and S. Al-Nafaie. Some results on skew Hurwitz series rings. Far East
Journal of Mathematical Sciences, 101(12):2767{2784, 2017.
[5] M. Fliess. Sur divers produits de series fonnelles. Bull. Soc. Math. Fr., 102:181{191,
1974.
[6] R. Gordon. Rings in which minimal left ideals are projective. Pac. J. Math., 31:679{
692, 1969.
[7] E. Hashemi. Extensions of Baer and quasi-Baer modules. Bull. Iranian Math. Soc.,
37(1):1{13, 2011.
[8] A. Hassanein and M. Farahat. Some properties of skew Hurwitz series. Le Matem-
atiche, LXIX(I):169{178, 2014.
REFERENCES 259
[9] C. Hong, N. Kim, and T. Kwak. Ore extensions of Baer and p.p.-rings . J. Pure and
Appl. Alg., 151:215{226, 2000.
[10] W. Keigher. Adjunctions and comonads in dierential algebra . Pacic. J. Math,
248:99{112, 1975.
[11] W. Keigher. On the ring of Hurwitz series . Comm. Alg., 25(6):1845{1859, 1997.
[12] W. Keigher and F. Pritchard. Hurwitz series as formal functions . J. Pure Appl. Alg.,
146:291{304, 2000.
[13] J. Krempa. Some examples of reduced rings . Algebra Colloq., 3:289{300, 1996.
[14] Z. Liu and F. Li. PS-rings of generalized power series . Comm. Algebra, 26:2283{2291,
1998.
[15] W. Nicholson and J. Watters. Rings with projective socle. Proc. Amer. Math. Soc.,
102:443{450, 1988.
[16] L. Ouyang. Ore extensions of weak zip rings. Glasg. Math. J., 51:525{537, 2009.
[17] K. Paykan. Nilpotent elements of skew Hurwitz series rings . Rend. Circ. Mat.
Palermo., 2016.
[18] K. Paykan. Skew inverse power series rings over a ring with projective socle . Czec.
Math. J., 67(142):389{398, 2017.
[19] M. Rege and S. Chhawchharia. Armendariz rings . Proc. Japan Acad. Ser. A Math.
Sci., 73:14{17, 1997.
[20] R. Salem, M. Farahat, and H. Abd-ELmalk. PS-modules over Ore extensions and
skew generalized power series rings . Int. J. Math. Math. Sci., 2015.
[21] E. Taft. Hurwitz invertibility of linearly recursive sequences. Congr. Numerantium,
73:37{40, 1990.
[22] X.Weimin. Modules with projective socles. Riv. Math. Univ. Parma (N.S.), 1(5):311{
315, 1992.