Multipliers and weak multipliers of algebras
Yuji Kobayashi, Sin-Ei Takahasi
TL;DR
This paper investigates the properties of multipliers and weak multipliers in algebras, providing classifications for associative and zeropotent algebras of dimension 3 over algebraically closed fields.
Contribution
It offers new classifications and characterizations of multipliers and weak multipliers specifically for 3-dimensional associative and zeropotent algebras.
Findings
Classified multipliers of 3-dimensional associative algebras
Determined weak multipliers of 3-dimensional zeropotent algebras
Established properties of multipliers in general algebraic contexts
Abstract
We study general properties of multipliers and weak multipliers of algebras. We apply the results to determine the (weak) multipliers of associative algebras and zeropotent algebras of dimension 3 over an algebraically closed field.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models