Classification of four-dimensional anti-dendriform algebras whose associated associative algebra has the center of dimension one

Abstract

This article is devoted to the classification of anti-dendriform algebras that are associated with associativity. They are characterized as algebras with two operations whose sum is associative. In the paper all four-dimensional complex anti-dendriform algebras associated to four-dimensional associative algebras with one-dimensional center are classified

31 pages. arXiv admin note: substantial text overlap with arXiv:2404.00981