Bimultipliers of R-algebroids

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Ikonion Journal of Mathematics
Volume:6 Issue:1
Bimultipliers of R-algebroids

Bimultipliers of R-algebroids

Pages : 30-40

View : 26 | Download : 51

Publication Date : 2024-07-22

Article Type : Research Paper

Abstract :Group action is determined bythe automorphism group and algebra action is defined by the multiplication algebra. In the study we generalize the multiplication algebra by defining multipliers of an R-algebroid M. Firstly, the set of bimultipliers on an R-algebroid is introduced, it is denoted by Bim(M), then it is proved that this set is an R-algebroid, it is called multiplication R-algebroid. Using this Bim(M), for an R-algebroid morphism A → Bim(M) it is shown that this morphism gives an R-algebroid action. Then we examine some of the properties associated with this action.
Keywords : R algebroid, Bimultiplier, Multiplication

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