ON MODULAR INCIDENCE $G$-ALGEBRAS

Ohood A. Alharthi · Far East Journal of Mathematical Sciences (FJMS) · 2020

The aim of this work is to study incidence algebras and incidence functions. We introduce concept of modular incidence algebra for a fixed prime number $p$. We illustrate this concept through examples. We define a modular incidence $G$-algebra which means a finite group acting on the modular incidence algebra over a field of characteristic $p$. We study tensor product of two incidence algebras. We define blocks of incidence algebras.

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