Sturdy frames of type (2,2) algebras and their applications to semirings

• Autorzy: X. Z. Zhao , Y. Q. Guo , K. P. Shum
• Języki publikacji: EN

Abstrakty

EN

We introduce sturdy frames of type (2,2) algebras, which are a common generalization of sturdy semilattices of semigroups and of distributive lattices of rings in the theory of semirings. By using sturdy frames, we are able to characterize some semirings. In particular, some results on semirings recently obtained by Bandelt, Petrich and Ghosh can be extended and generalized.

Kategorie tematyczne

• 16Y60: Semirings
• 20M07: Varieties and pseudovarieties of semigroups
• 08B25: Products, amalgamated products, and other kinds of limits and colimits

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 179
• Numer: 1
• Strony: 69-81

Daty

wydano

2003

Twórcy

autor

X. Z. Zhao

• Department of Mathematics, Northwest University, Xi'an, Shanxi, 710069, P.R. China

autor

Y. Q. Guo

• Institute of Mathematics, Southwest China Normal University, Beibei, Chongqing 400715, P.R. China

autor

K. P. Shum

• Science Faculty, The Chinese University of Hong Kong, Shatin, Hong Kong

Identyfikatory

DOI

10.4064/fm179-1-6