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ALGEBRAS WITH A NILPOTENT GENERATOR OVER ℤp2
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 Title & Authors
ALGEBRAS WITH A NILPOTENT GENERATOR OVER ℤp2
Woo, Sung-Sik;
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 Abstract
The purpose of this paper is to describe the structure of the rings with a monic polynomial and for some nonnegative integer . Especially we will see that any ideal of such rings can be generated by at most two elements of the special form and we will find the 'minimal' set of generators of the ideals. We indicate how to identify the isomorphism types of the ideals as by finding the isomorphism types of the ideals of some particular ring. Also we will find the annihilators of the ideals by finding the most 'economical' way of annihilating the generators of the ideal.
 Keywords
cyclic code over ;
 Language
English
 Cited by
1.
CYCLIC CODES OF EVEN LENGTH OVER Z4,;

대한수학회지, 2007. vol.44. 3, pp.697-706 crossref(new window)
2.
THE GROUP OF UNITS OF SOME FINITE LOCAL RINGS I,;

대한수학회지, 2009. vol.46. 2, pp.295-311 crossref(new window)
3.
IDEALS OF Zpn[X]/(Xl-1),;

대한수학회논문집, 2011. vol.26. 3, pp.427-443 crossref(new window)
1.
IDEALS OF Zpn[X]/(Xl-1), Communications of the Korean Mathematical Society, 2011, 26, 3, 427  crossref(new windwow)
 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 crossref(new window)

3.
S. S. Woo, Cyclic codes of length $2^n$ over $Z_4$, preprint, 2004