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math.GR2021
On generating sets of infinite symmetric group
Andrei V. Semenov, Aleksandra Denisova
It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criter…
math.AG2021
Twisted forms of commutative monoid structures on affine spaces
Andrei V. Semenov, Pavel Gvozdevsky
In this paper, we study affine commutative algebraic monoid structures on affine spaces over an arbitrary field of characteristic zero. We obtain full classification of such struct…
math.KT2021★ 1 cited
-structure on Hochschild cohomology for exceptional local algebras of quaternion type. Case of even parameter
Alexander Generalov, Andrei V. Semenov
We give a full description of the -structure on the Hochschild cohomology of exceptional local algebras of quaternion type, defined by parameters in case of even para…