Titlebook: Automorphisms and Derivations of Associative Rings; V. K. Kharchenko Book 1991 Springer Science+Business Media Dordrecht 1991 Galois group

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On Algebraic Independence of Automorphisms and Derivations, the problem of algebraic dependence of automorphisms is of importance in a noncommutative situation as well. A simple example that follows shows that from a common point of view automorphisms can be algebraically (and even linearly) dependent.

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https://doi.org/10.1007/978-94-011-3604-4Galois group; Galois theory; Lattice; Lie algebra; algebra; associative ring; automorphism; differential al

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https://doi.org/10.1007/978-1-349-81679-8eans of a formula . = 0. Such a ring is called a . and is trivial in terms of the theory of rings. Now, starting from an arbitrary ring ., we can try to “kill off” the trivial part in it. If the ring . contains a nonzero ideal ., with a zero multiplication, then it would be natural to go over to con

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https://doi.org/10.1007/978-3-642-77184-2 not interrelated but they are in this or that way associated with the same basic topics: free algebras, non-commutative invariants, radicals, Goldie rings, rings of quotients, Noetherian rings, etc. It is clearly impossible to try to give a closed presentation of such a wide range of material withi

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Drip Chemigation for Insect Pest Management,y vegetable growers already use a drip irrigation system for water management, the injection of a pesticide can easily and inexpensively be achieved with the addition of an injection pump and the required safety equipment for the injection of soluble pesticides. The current availability of novel, sy

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