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Paper detail

Representability of affine algebras over an arbitrary field

In a series of papers, we used full quivers as tools in describing PI-varieties of algebras and providing a complete proof of Belov's solution of Specht's problem for affine algebras over an arbitrary Noetherian ring. In this paper, utilizing ideas from that work, we give a full exposition of Belov's theorem that relatively free affine PI-algebras over an arbitrary field are representable. (Kemer proved the theorem over an infinite field.)

preprint2018arXivOpen access
Alexei Belov-KanelLouis RowenUzi Vishne
math.RA
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Alexei Belov-KanelLouis RowenUzi Vishne

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