E-resources
Peer reviewed
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Karimjanov, I. A.
Communications in algebra, 20/3/4/, Volume: 49, Issue: 3Journal Article
In this paper we give the classification of 5-dimensional complex nilpotent associative algebras. We use - the isomorphism invariant. We prove that there are only two possible isomorphism invariants or for any 5-dimensional complex nilpotent associative algebra with the condition and we give the classification (up to isomorphism) of such type algebras. 5-dimensional complex nilpotent associative algebras with the conditions and have already been classified. Thus, we complete the classification of 5-dimensional complex nilpotent associative algebras.
