A theorem on anti-ordered factor-semigroups | Zendy

Siniša Crvenković | Zendy; Daniel A. Romano | Zendy

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A theorem on anti-ordered factor-semigroups

Author(s) -

Siniša Crvenković,

Daniel A. Romano

Publication year - 2007

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/pim0796119c

Subject(s) - semigroup , mathematics , constructive , ideal (ethics) , congruence (geometry) , pure mathematics , order (exchange) , relation (database) , discrete mathematics , algebra over a field , computer science , law , geometry , process (computing) , finance , economics , operating system , database , political science

Let K be an anti-ideal of a semigroup (S, =, =, · ,θ )w ith apart- ness. A construction of the anti-congruence Q(K) and the quasi-antiorder θ, generated by K, are presented. Besides, a construction of the anti-order rela- tion Θ on syntactic semigroup S/Q(K), generated by θ, is given in Bishop's constructive mathematics.

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