Maximal Homomorphism in Fundamental Theorem of Homomorphism Semiring | Zendy

Riski Ryan Hardiansyah | Zendy; Khurul Wardati | Zendy; Muhamad Zaki Riyanto | Zendy

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Maximal 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.

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