悬崖 发表于 2025-3-25 04:29:24
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.PALL 发表于 2025-3-25 07:58:23
https://doi.org/10.1007/978-94-011-3604-4Galois group; Galois theory; Lattice; Lie algebra; algebra; associative ring; automorphism; differential alHyaluronic-Acid 发表于 2025-3-25 12:32:57
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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 conlethal 发表于 2025-3-25 23:42:05
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http://reply.papertrans.cn/17/1667/166634/166634_27.pngPericarditis 发表于 2025-3-26 12:04:38
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尾巴 发表于 2025-3-26 14:51:25
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, syCLAP 发表于 2025-3-26 20:36:46
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