Geodesic
$(L,\varphi)$-representations of algebras
Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 135-143

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In this paper we introduce the concept of an $(L, \varphi )$-representation of an algebra $A$ which is a common generalization of subdirect, full subdirect and weak direct representation of $A$. Here we characterize such representations in terms of congruence relations.
Classification : 08A05, 08A30, 08B26
Keywords: finitely restricted subdirect product; full subdirect product; weak direct product; congruence lattice; distributivity 
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     author = {Walendziak, Andrzej},
     title = {$(L,\varphi)$-representations of algebras},
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     pages = {135--143},
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     volume = {29},
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     zbl = {0796.08002},
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Walendziak, Andrzej. $(L,\varphi)$-representations of algebras. Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 135-143. http://geodesic.mathdoc.fr/item/ARM_1993__29_3-4_a1/