Abstract
In this paper,we introduce the notion of a generalized weak group-like algebra which is designed to cover finite groupoid algebras and group-like algebras.Then we construct a list of examples and show that a generalized weak group-like algebra can be regarded as a generalized weak bi-Frobenius algebra.Moreover,we discuss when a generalized weak bi-Frobenius algebra is a groupoid algebra.Finally,we give the classifications of low-dimensional generalized weak group-like algebras.
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