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Vladimir Dotsenko
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Superalgebras have been used in various questions of algebra in a very striking way. To give some instances:

  1. Kemer's proof of the fact that, over a field of zero characteristic, every system of identities expressible in terms of the product in associative algebra follows from finitely many of them (Finite basis property of identities of associative algebras).

  2. Nilpotence results by various authors, see, for instance, Zel'manov'sZelmanov's celebrated proof of global nilpotence of Engel Lie algebras (Engelian Lie algebras), or the survey of Vaughan-Lee indicating some other directions (Superalgebras and Dimensions of Algebras).

  3. Shestakov's elegant examples and counterexamples in different varieties of nonassociative algebras (Superalgebras and counterexamples).

Superalgebras have been used in various questions of algebra in a very striking way. To give some instances:

  1. Kemer's proof of the fact that, over a field of zero characteristic, every system of identities expressible in terms of the product in associative algebra follows from finitely many of them (Finite basis property of identities of associative algebras).

  2. Nilpotence results by various authors, see, for instance, Zel'manov's celebrated proof of global nilpotence of Engel Lie algebras (Engelian Lie algebras), or the survey of Vaughan-Lee indicating some other directions (Superalgebras and Dimensions of Algebras).

  3. Shestakov's elegant examples and counterexamples in different varieties of nonassociative algebras (Superalgebras and counterexamples).

Superalgebras have been used in various questions of algebra in a very striking way. To give some instances:

  1. Kemer's proof of the fact that, over a field of zero characteristic, every system of identities expressible in terms of the product in associative algebra follows from finitely many of them (Finite basis property of identities of associative algebras).

  2. Nilpotence results by various authors, see, for instance, Zelmanov's celebrated proof of global nilpotence of Engel Lie algebras (Engelian Lie algebras), or the survey of Vaughan-Lee indicating some other directions (Superalgebras and Dimensions of Algebras).

  3. Shestakov's elegant examples and counterexamples in different varieties of nonassociative algebras (Superalgebras and counterexamples).

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LSpice
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Superalgebras have been used in various questions of algebra in a very striking way. To give some instances:

  1. Kemer's proof of the fact that, over a field of zero characteristic, every system of identities expressible in terms of the product in associative algebra follows from finitely many of them (https://link.springer.com/article/10.1007/BF01978692Finite basis property of identities of associative algebras).

  2. Nilpotence results by various authors, see, for instance, Zelmanov'sZel'manov's celebrated proof of global nilpotence of Engel Lie algebras (https://link.springer.com/article/10.1007/BF00970273Engelian Lie algebras), or the survey of Vaughan-Lee indicating some other directions (https://www.worldscientific.com/doi/10.1142/S0218196798000065Superalgebras and Dimensions of Algebras).

  3. Shestakov's elegant examples and counterexamples in different varieties of nonassociative algebras (https://link.springer.com/article/10.1007/BF00971214Superalgebras and counterexamples).

Superalgebras have been used in various questions of algebra in a very striking way. To give some instances:

  1. Kemer's proof of the fact that, over a field of zero characteristic, every system of identities expressible in terms of the product in associative algebra follows from finitely many of them (https://link.springer.com/article/10.1007/BF01978692).

  2. Nilpotence results by various authors, see, for instance, Zelmanov's celebrated proof of global nilpotence of Engel Lie algebras (https://link.springer.com/article/10.1007/BF00970273), or the survey of Vaughan-Lee indicating some other directions (https://www.worldscientific.com/doi/10.1142/S0218196798000065)

  3. Shestakov's elegant examples and counterexamples in different varieties of nonassociative algebras (https://link.springer.com/article/10.1007/BF00971214)

Superalgebras have been used in various questions of algebra in a very striking way. To give some instances:

  1. Kemer's proof of the fact that, over a field of zero characteristic, every system of identities expressible in terms of the product in associative algebra follows from finitely many of them (Finite basis property of identities of associative algebras).

  2. Nilpotence results by various authors, see, for instance, Zel'manov's celebrated proof of global nilpotence of Engel Lie algebras (Engelian Lie algebras), or the survey of Vaughan-Lee indicating some other directions (Superalgebras and Dimensions of Algebras).

  3. Shestakov's elegant examples and counterexamples in different varieties of nonassociative algebras (Superalgebras and counterexamples).

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Vladimir Dotsenko
  • 16.9k
  • 1
  • 55
  • 114

Superalgebras have been used in various questions of algebra in a very striking way. To give some instances:

  1. Kemer's proof of the fact that, over a field of zero characteristic, every system of identities expressible in terms of the product in associative algebra follows from finitely many of them (https://link.springer.com/article/10.1007/BF01978692).

  2. Nilpotence results by various authors, see, for instance, Zelmanov's celebrated proof of global nilpotence of Engel Lie algebras (https://link.springer.com/article/10.1007/BF00970273), or the survey of Vaughan-Lee indicating some other directions (https://www.worldscientific.com/doi/10.1142/S0218196798000065)

  3. Shestakov's elegant examples and counterexamples in different varieties of nonassociative algebras (https://link.springer.com/article/10.1007/BF00971214)

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