Geodesic
Sturdy frames of type $(2,2)$ algebras and their applications to semirings
X. Z. Zhao1 ; Y. Q. Guo2 ; K. P. Shum3
1 Department of Mathematics Northwest University Xi'an, Shanxi, 710069, P.R. China
2 Institute of Mathematics Southwest China Normal University Beibei, Chongqing 400715, P.R. China
3 Science Faculty The Chinese University of Hong Kong Shatin, Hong Kong
Fundamenta Mathematicae, Tome 179 (2003) no. 1, pp. 69-81.

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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.
DOI : 10.4064/fm179-1-6
Keywords: introduce sturdy frames type algebras which common generalization sturdy semilattices semigroups distributive lattices rings theory semirings using sturdy frames able characterize semirings particular results semirings recently obtained bandelt petrich ghosh extended generalized

X. Z. Zhao 1 ; Y. Q. Guo 2 ; K. P. Shum 3

1 Department of Mathematics Northwest University Xi'an, Shanxi, 710069, P.R. China
2 Institute of Mathematics Southwest China Normal University Beibei, Chongqing 400715, P.R. China
3 Science Faculty The Chinese University of Hong Kong Shatin, Hong Kong 
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X. Z. Zhao; Y. Q. Guo; K. P. Shum. Sturdy frames of type $(2,2)$ algebras
 and their applications to semirings. Fundamenta Mathematicae, Tome 179 (2003) no. 1, pp. 69-81. doi : 10.4064/fm179-1-6. http://geodesic.mathdoc.fr/articles/10.4064/fm179-1-6/

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