On Sturdy Frame of Abstract Algebras
Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 199
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We introduce the notion of a sturdy frame of abstract algebras
which is a common generalization of a sturdy semilattice of semigroups,
the sum of lattice ordered systems, the strong distributive lattice of semirings,
the sturdy frame of type $(2,2)$ algebras and the strong b-lattice of semirings.
Also, we give some properties and characterizations of the sturdy frame of abstract algebras.
As an application, we study the sturdy distributive lattice of lattice ordered groups.
Classification :
03C05, 08A05
Keywords: abstract algebra, sturdy frame, congruence, subdirect product, variety
Keywords: abstract algebra, sturdy frame, congruence, subdirect product, variety
@article{10_2298_PIM140421001S,
author = {Yong Shao and Miaomiao Ren},
title = {On {Sturdy} {Frame} of {Abstract} {Algebras}},
journal = {Publications de l'Institut Math\'ematique},
pages = {199 },
publisher = {mathdoc},
volume = {_N_S_97},
number = {111},
year = {2015},
doi = {10.2298/PIM140421001S},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM140421001S/}
}
TY - JOUR AU - Yong Shao AU - Miaomiao Ren TI - On Sturdy Frame of Abstract Algebras JO - Publications de l'Institut Mathématique PY - 2015 SP - 199 VL - _N_S_97 IS - 111 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM140421001S/ DO - 10.2298/PIM140421001S LA - en ID - 10_2298_PIM140421001S ER -
Yong Shao; Miaomiao Ren. On Sturdy Frame of Abstract Algebras. Publications de l'Institut Mathématique, _N_S_97 (2015) no. 111, p. 199 . doi: 10.2298/PIM140421001S
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