TENSOR PRODUCT OF INCIDENCE ALGEBRAS
DOI:
https://doi.org/10.24297/jam.v10i2.1459Keywords:
Order Theory, Categorical Algebras, Incidence Functions, Algebraic Combinatorics, Tensor Product, Partially Ordered Sets, Incidence Algebras.Abstract
The aim of this work is to study the incidence functions and the tensor product of two incidence algebras. We show that the tensor product of two incidence algebras is an incidence algebra. We believe that our result is true for uncountable locally partial order sets. We present some examples of incidence functions. We study the Jacobson radical of the tensor product of the incidence algebras as well as when a tensor incidence algebra is an algebraic algebra over a field.
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