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

X. Z. Zhao; Y. Q. Guo; K. P. Shum

Fundamenta Mathematicae (2003)

  • Volume: 179, Issue: 1, page 69-81
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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X. Z. Zhao, Y. Q. Guo, and K. P. Shum. "Sturdy frames of type (2,2) algebras and their applications to semirings." Fundamenta Mathematicae 179.1 (2003): 69-81. <http://eudml.org/doc/282676>.

@article{X2003,
abstract = {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.},
author = {X. Z. Zhao, Y. Q. Guo, K. P. Shum},
journal = {Fundamenta Mathematicae},
keywords = {frames; semilattices of semigroups; distributive lattices of rings; varieties of semirings; reducts},
language = {eng},
number = {1},
pages = {69-81},
title = {Sturdy frames of type (2,2) algebras and their applications to semirings},
url = {http://eudml.org/doc/282676},
volume = {179},
year = {2003},
}

TY - JOUR
AU - X. Z. Zhao
AU - Y. Q. Guo
AU - K. P. Shum
TI - Sturdy frames of type (2,2) algebras and their applications to semirings
JO - Fundamenta Mathematicae
PY - 2003
VL - 179
IS - 1
SP - 69
EP - 81
AB - 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.
LA - eng
KW - frames; semilattices of semigroups; distributive lattices of rings; varieties of semirings; reducts
UR - http://eudml.org/doc/282676
ER -

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