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Numbers of Generators of Ideals in a Group Ring of an Elementary Abelian p-Group

✍ Scribed by James S. Okon; David E. Rush; J.Paul Vicknair

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
174 KB
Volume
224
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let Β΅ I denote the minimal number of generators of an ideal I of a local ring R M . The Dilworth number d R = max Β΅ I I an ideal of R and Sperner number sp R = max Β΅ M i i β‰₯ 0 are determined in the case that R = A G , where G = Z/pZ k is an elementary abelian p-group, A zA is a principal local ring with A/zA of characteristic p > 0, and z n = 0 for small values of n.

πŸ“œ SIMILAR VOLUMES

An Elementary Abelian Group of Rank 4 Is
An Elementary Abelian Group of Rank 4 Is a CI-Group
✍ M. Hirasaka; M. Muzychuk πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 212 KB

In this paper we prove that Z 4 p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z 4 p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z 4 p .