Morphisms of Semirings

Jonathan S. Golan
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Jonathan S. Golan: University of Haifa

Chapter 9 in Semirings and their Applications, 1999, pp 105-120 from Springer

Abstract: Abstract If R and S are semirings then a function γ: R → S is a morphism of semirings if and only if: (1) $$ \gamma \left( {{0_R}} \right) = {0_s} $$ ; (2) $$ \gamma \left( {{1_R}} \right) = {1_s};and $$ (3) $$ \gamma \left( {r + r'} \right) = \gamma \left( r \right) + \gamma \left( {r'} \right)and\gamma \left( {rr'} \right) = \gamma \left( r \right) \cdot \gamma \left( {r'} \right)for\,all\,r,r' \in R $$ .

Keywords: Left Ideal; Congruence Relation; Ring Homomorphism; Injective Morphism; Canonical Morphism (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-94-015-9333-5_9

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