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Algebras with a nilpotent generator over ℤp2

Title
Algebras with a nilpotent generator over ℤp2
Authors
Woo S.S.
Ewha Authors
우성식
SCOPUS Author ID
우성식scopus
Issue Date
2006
Journal Title
Bulletin of the Korean Mathematical Society
ISSN
1015-8634JCR Link
Citation
vol. 43, no. 3, pp. 487 - 497
Indexed
SCIE; SCOPUS; KCI scopus
Abstract
The purpose of this paper is to describe the structure of the rings ℤp2 [X])/(α(X)) with α(X) a monic polynomial and X̄k = 0 for some nonnegative integer k. 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 ℤp 2-modules 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.
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자연과학대학 > 수학전공 > Journal papers
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