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why Why should we study derivationderivations of algebraalgebras?

i read some articles about derivation of some kind of algebras. TheSome authors wrotehave written that derivation of an algebra is an important tools for studying its structure. could Could you give me a specific thing about the importanceexample of how a derivation gives insight into an algebra's structure? why More generally: Why should we study about derivationderivations of algebraalgebras? what What is the advantage of knowing that an algebra has a non-trivial derivation?

why should we study derivation of algebra?

i read some articles about derivation of some kind of algebras. The authors wrote that derivation of an algebra is an important tools for studying its structure. could you give me a specific thing about the importance? why should we study about derivation of algebra? what is the advantage of knowing that an algebra has non-trivial derivation?

Why should we study derivations of algebras?

Some authors have written that derivation of an algebra is an important tools for studying its structure. Could you give me a specific example of how a derivation gives insight into an algebra's structure? More generally: Why should we study derivations of algebras? What is the advantage of knowing that an algebra has a non-trivial derivation?

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why should we study derivation of algebra?

i read some articles about derivation of some kind of algebras. The authors wrote that derivation of an algebra is an important tools for studying its structure. could you give me a specific thing about the importance? why should we study about derivation of algebra? what is the advantage of knowing that an algebra has non-trivial derivation?