DEGREES OF SOLID VARIETIES OF SEMIRINGS

Year 2015, Volume: 3 Issue: 1, 1 - 12, 15.05.2015

Hippolyte Hounnon , Klaus Denecke

https://doi.org/10.36753/mathenot.421193

Abstract

For any arbitrary variety V , the degree dp(V ) of V with respect

to proper hypersubstitutions was introduced in [6]. This degree of any variety

of bands was determined in [4]. In this paper we characterize the universe of

the free algebra of each solid variety of semirings and from this we derive the

degree dp(V ) if V is any solid variety of semirings.

Keywords

Semiring, hypersubstitution, hyperidentity, solid variety

References

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