ALGEBRAS WITH A NILPOTENT GENERATOR OVER ℤp2

Title & Authors
ALGEBRAS WITH A NILPOTENT GENERATOR OVER ℤp2
Woo, Sung-Sik;

Abstract
The purpose of this paper is to describe the structure of the rings $\small{\mathbb{Z}_{p^2}[X]/({\alpha}(X))}$ with $\small{{\alpha}(X)}$ a monic polynomial and $\ Keywords cyclic code over $\small{\mathbb{Z}_4}$; Language English Cited by 1. CYCLIC CODES OF EVEN LENGTH OVER Z4,; 대한수학회지, 2007. vol.44. 3, pp.697-706 2. THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I,; 대한수학회지, 2009. vol.46. 2, pp.295-311 3. IDEALS OF Zpn[X]/(Xl-1),; 대한수학회논문집, 2011. vol.26. 3, pp.427-443 1. IDEALS OF Zpn[X]/(Xl-1), Communications of the Korean Mathematical Society, 2011, 26, 3, 427 References 1. M. F. Atiyah and I. G. Macdonald, Introduction to commutative algebra, Addison-Wesley, 1969 2. P. Kanwar and S. R. Lopez-Permouth, Cyclic codes over the integer modulo$p^n$, Finite fields Appl. 3 (1997), no. 2, 334-352 3. S. S. Woo, Cyclic codes of length$2^n$over$Z_4\$, preprint, 2004