The unit theorem for finite-dimensional algebras |
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| Institution: | 1. University of Primorska, FAMNIT, Koper, Slovenia;2. University of Sarajevo, Sarajevo, Bosnia and Herzegovina;3. Department of Computer Science and Engineering, Indian Institute of Technology, Roorkee, India;1. California State University, Sacramento, Department of Mathematics and Statistics, 6000 J Street, Sacramento, CA 95819, USA;2. Opole University, Institute of Mathematics and Informatics, ul. Oleska 48, 45-052 Opole, Poland;1. Department of Mathematics, Washington University, Saint Louis, MO 63130, USA;1. Department of Electrical Engineering, Columbia University, New York, NY 10027, United States;2. Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027, United States |
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| Abstract: | The unit theorem that forms the subject of the present article, is a theorem from algebra that has a combinatorial flavour, and that originated in fact from algebraic combinatorics. Beyond a proof, we also address applications, one of which is a proof of the normal basis theorem from Galois theory. |
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| Keywords: | Units Algebras Combinatorial Nullstellensatz Descending module isomorphisms |
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