The variety of semirings generated by distributive lattices and finite fields | Zendy

Yong Shao | Zendy; Siniša Crvenković | Zendy; Melanija Mitrović | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The variety of semirings generated by distributive lattices and finite fields

Author(s) -

Yong Shao,

Siniša Crvenković,

Melanija Mitrović

Publication year - 2014

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1409101s

Subject(s) - distributive property , distributive lattice , variety (cybernetics) , isomorphism (crystallography) , lattice (music) , mathematics , pure mathematics , semiring , algebra over a field , physics , chemistry , crystal structure , crystallography , statistics , acoustics

A semiring variety is d-semisimple if it is generated by the distributive lattice of order two and a finite number of finite fields. A d-semisimple variety V = HSP{B2, F1,..., Fk} plays the main role in this paper. It will be proved that it is finitely based, and that, up to isomorphism, the two-element distributive lattice B2 and all subfields of F1,..., Fk are the only subdirectly irreducible members in it. [The first author is supported by China Postdoctoral Science Foundation, Grant 2011M501466 and the Natural Science Foundation of Shannxi Province, Grant 2011JQ1017. The second authoris Supported by the Ministry of Education, Science and Technological Development of Serbia,Grant 174018. The third author is Supported by the Ministry of Education, Science and TechnologicalDevelopment of Serbia, Grant 174026]

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research