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2016•Journal of Mathematical and Computational ScienceRequires access

Commutative groupoid algebra

Ahmed Abd El-Monsef Allam, Nabila Nassiief Mikhaeel, Huda Merdach

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Abstract

In this paper we introduce of commutative groupoid algebra which is an equivalent definition of lattice commutative groupoid algebra and Futher we prove that it is regular autometrized algebra. Futher we remark that the binary operation ʘ on commutative groupoid algebra can never be associative.

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What this paper is about

In this paper we introduce of commutative groupoid algebra which is an equivalent definition of lattice commutative groupoid algebra and Futher we prove that it is regular autometrized algebra. Futher we remark that the binary operation ʘ on commutative groupoid algebra can never be associative.

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Available abstract

In this paper we introduce of commutative groupoid algebra which is an equivalent definition of lattice commutative groupoid algebra and Futher we prove that it is regular autometrized algebra. Futher we remark that the binary operation ʘ on commutative groupoid algebra can never be associative.

Key concepts: Mathematics, Double groupoid, Commutative property, Associative algebra, Incidence algebra, Associative property, Symmetric algebra, Algebra over a field

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