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ALGEBRAIC AUTOMORPHISMS AND $ PI$-ALGEBRAS
Mathematics of the USSR-Sbornik, 1975This paper is concerned with associative algebras over a field of characteristic zero which possess a -regular algebraic automorphism. (An automorphism is called -regular if the subalgebra of fixed elements satisfies an identity of degree .) It is shown that if an algebra admits a -regular algebraic automorphism such that no root of unity is a multiple
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Algebraic extensions of prime algebras and algebras of quotients
1986Summary: Let F be a field, \(R\supset B\) be F-algebras such that for every element \(x\in R\) there is a polynomial f(t) with f(x)\(\in B\). The following results are proved: If R is prime and has no nonzero algebraic one-sided ideals, then B is prime with no nonzero algebraic one-sided ideals; if moreover R is noncommutative, then the algebras of ...
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Algebraic Automorphisms of Operator Algebras
Journal of the London Mathematical Society, 1974Kadison, Richard V., Ringrose, John R.
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An algebra of transfer functions for distributed linear time-invariant systems
IEEE Transactions on Circuits and Systems, 1978F Callier, C Desoer
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