Given an extension of finite fields F⊆L, we study the number of the equivalence classes of F-vector subspaces of L modulo multiplication by elements of L, obtaining an exact formula and some bounds. We then apply the results obtained to the study of the set of F-star operations on L, which correspond to star operations on a pseudo-valuation domain R.
Vector subspaces of finite fields and star operations on pseudo-valuation domains
Spirito D.
2019-01-01
Abstract
Given an extension of finite fields F⊆L, we study the number of the equivalence classes of F-vector subspaces of L modulo multiplication by elements of L, obtaining an exact formula and some bounds. We then apply the results obtained to the study of the set of F-star operations on L, which correspond to star operations on a pseudo-valuation domain R.File in questo prodotto:
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