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math.RA2020★ 9 cited
Central extensions of filiform Zinbiel algebras
Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1
In this paper we describe central extensions (up to isomorphism) of all complex null-filiform and filiform Zinbiel algebras. It is proven that every non-split central extension of…
math.RA2020★ 7 cited
One-generated nilpotent Novikov algebras
Luisa M. Camacho, Iqboljon Karimjanov, Ivan Kaygorodov +1
We give a classification of 5- and 6-dimensional complex one-generated nilpotent Novikov algebras
math.RA2017★ 16 cited
Two-Local derivations on associative and Jordan matrix rings over commutative rings
Shavkat Ayupov, Farhodjon Arzikulov
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has…