Hamiltonian ordered algebras and congruence extension

Laan, Valdis; Nasir, Sohail; Tart, Lauri

doi:10.1515/ms-2017-0013

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

2020

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Homomorphism theorems for ordered algebras have been investigated by various authors, both from the point of view of ordered algebra and ordered semigroup. Our research is closely related to those which was carried out in [1,2,3,4,5,7]. They defined order-congruence, compatible quasiorder on those structures and investigated further results of homomorphism theorems.…”

Section: Introductionmentioning

confidence: 75%

Homomorphism theorems of ordered semirings

Zhao¹,

Zhou²,

Zeng³

2018

imf

View full text Add to dashboard Cite

In this paper, homomorphism theorems for ordered semirings are studied. We obtain some characterizations of the smallest compatible quasiorder or order-congruence generated by H. A homomorphism theorem and two isomorphism theorems of ordered semirings based on compatible quasiorders and order-congruences have been given. Finally, we have a characterization for the direct product of ordered semirings by using compatible quasiorders on an ordered semiring.

show abstract