Zariski-topology for co-ideals of commutative semirings
Authors: S. Ebrahimi Atani, S. Dolati Pishhesari and M. Khoramdel
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Abstract
Let R be a semiring and co-spec(R) be the collection of all prime strong co-ideals of R. In this paper, we introduce and study a generalization of the Zariski topology of ideals in rings to co-ideals of semirings. We investigate the interplay between the algebraic-theoretic properties and the topological properties of co-spec(R). Semirings whose Zariski topology is respectively T1, Hausdorff or cofinite are studied, and several characterizations of such semirings are given.Fulltext
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Contents
- Bipolar fuzzy soft Lie algebras
- Soft intersection Lie algebras
- A study of n-subracks
- Weak hyper residuated lattices
- On classes of regularity in an ordered semigroup
- OD-Characterization of almost simple groups
- Zariski-topology for co-ideals of commutative semirings
- Shortest single axioms with neutral element for groups of exponent 2 and 3
- On 0-minimal (0,2)-bi-ideals
- Intra-regular, left quasi-regular and semisimple fuzzy ordered semigroups
- Nuclei and commutants of C-loops
- Simple ternary semigroups
