k-Congruences and the Zariski topology in semirings
نویسندگان
چکیده
The purpose of this paper is to study topological properties both the set all $k$-prime ideals and congruences for any commutative semiring with zero identity. We first prove that spectrum, i.e. equipped Zariski topology a spectral space, then homeomorphic spectrum respect their topologies.
منابع مشابه
A Zariski topology for k-semirings
The prime k-spectrum Speck(R) of a k-semiring R will be introduced. It will be proven that it is a topological space, and some properties of this space will be investigated. Connections between the topological properties of Speck(R) and possible algebraic properties of the k-semiring R will be established.
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ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2021
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.614688