10.14457/CU.THE.2016.186
Aungkanaporn Chankaew
Pure ideals in T-semirings
เซมิริง
ริง (พีชคณิต)
Semirings (Mathematics)
Rings (Algebra)
In this thesis, we de ne and characterize right pure ideals, left pure ideals, right weakly pure ideals and left weakly pure ideals in T-semirings. We also characterize right weakly regular T-semirings by the properties of right pure ideals. Next, we introduce purely prime, purely semiprime, purely irreducible, strongly irreducible pure and purely maximal ideals in T-semirings and examine their relations. More- over, we can nd relationships between right pure ideals and purely irreducible ideals in T-semirings. Finally, we investigate the properties of right pure ideals and left pure ideals on T-semirings homomorphisms. We also investigate the prop- erties of them in quotient T-semirings and products of T-semirings.
Amorn Wasanawichit
Chulalongkorn University
2016
Dataset