Geodesic
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.
DOI : 10.2298/PIM140421001S
Classification : 03C05, 08A05
Keywords: abstract algebra, sturdy frame, congruence, subdirect product, variety 
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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. http://geodesic.mathdoc.fr/articles/10.2298/PIM140421001S/

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