Embeddings of fields into simple algebras: Generalizations and applications

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• 作者：Chia-Fu Yu
• 关键词：16R20 ; 11R52 ; 16K
• 刊名：Journal of Algebra
• 出版年：2012
• 出版时间：15 October, 2012
• 年：2012
• 卷：368
• 期：Complete
• 页码：1-20
• 全文大小：262 K

文摘

For two semi-simple algebras A and B over an arbitrary ground field F, we give a numerical criterion when , the set of F-algebra homomorphisms between them, is non-empty. We also determine when the orbit set is finite and give an explicit formula for its cardinality. A few applications of main results are given.