Open AccessMaximal Homomorphism in Fundamental Theorem of Homomorphism Semiring
Author(s) -
Riski Ryan Hardiansyah,
Khurul Wardati,
Muhamad Zaki Riyanto
Publication year - 2017
Publication title -
proceeding international conference on science and engineering
Language(s) - English
Resource type - Journals
ISSN - 2598-232X
DOI - 10.14421/icse.v1.299
Subject(s) - semiring , homomorphism , mathematics , ideal (ethics) , algebra homomorphism , quotient , discrete mathematics , generalization , ring (chemistry) , kernel (algebra) , boolean ring , quotient ring , combinatorics , pure mathematics , algebra over a field , commutative ring , mathematical analysis , epistemology , commutative property , philosophy , chemistry , organic chemistry
Semiring is a generalization of ring. Some concepts in ring can be developed in semiring. The contructions of quotient semiring requires a specific ideal, namely Q-ideal. Different to the ring theory, the fundamental theorems of homomorphism on semiring needs a concept of maximal homomorphism, science the kernel of any maximal homomorphism is always Q-ideal.