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Alpha Ideals and the Space of Prime Alpha Ideals in Universal Algebras

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The purpose of this paper is to study - ideals in a more general context, in universal algebras having a constant . Several characterizations are obtained for an ideal of… Click to show full abstract

The purpose of this paper is to study - ideals in a more general context, in universal algebras having a constant . Several characterizations are obtained for an ideal of an algebra to be an - ideal. It is shown that the class of all - ideals of an algebra forms an algebraic lattice. Prime - ideals and several related properties are investigated. Some properties of the spectral space of prime - ideals equipped with the hull-kernel topology are derived.

Keywords: space prime; alpha ideals; universal algebras; ideals space; alpha

Journal Title: Journal of Mathematics
Year Published: 2021

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