DEGREES OF SOLID VARIETIES OF SEMIRINGS

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Mathematical Sciences and Applications E-Notes
Volume:3 Issue:1
DEGREES OF SOLID VARIETIES OF SEMIRINGS

DEGREES OF SOLID VARIETIES OF SEMIRINGS

Authors : Hippolyte HOUNNON, Klaus DENECKE

Pages : 1-12

Doi:10.36753/mathenot.421193

View : 19 | Download : 9

Publication Date : 2015-05-15

Article Type : Research Paper

Abstract :For any arbitrary variety V , the degree dpinsert ignore into journalissuearticles values(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 dpinsert ignore into journalissuearticles values(V ); if V is any solid variety of semirings.
Keywords : Semiring, hypersubstitution, hyperidentity, solid variety

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