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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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BL-algebras and effect algebras
Soft Computing, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Commutative Algebra: with a View Toward Algebraic Geometry
, 1995D. Eisenbud
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Commutative algebra and computer algebra
1982Our aim is to make this link more precise. It will appear that most of the constructions which appear in classical commutative algebra can be done explicitely in finite time. However, there are exceptions. Moreover, most of known algorithms are intractable : The problems are generally exponential by themselves, but many algorithms are over-over ...
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