Abstract
In [1], G.Birkhoff exhibited the subdirect product of algebraic structures as a universal tool, which since has been extensively used in the study of algebraic theories. Although a subdirect product is not uniquely determined by its factors, there are useful construction methods based on subdirect products (cf. Wille [8], [9], [10]). The aim of this paper is to make these methods available for handling the “Determination Problem” of concept lattices as it is exposed in Wille [11]. In particular, a useful method for determining concept lattices via its scaffoldings will be developed under some finiteness condition.
Presented by R. P. Dilworth. Received March 4, 1982. Accepted for publication in final form June 8, 1982.
This is a reprint of a paper originally published in Algebra Universalis 17, 275-287 (1983).
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Wille, R. (2014). Subdirect Decomposition of Concept Lattices. In: Glodeanu, C.V., Kaytoue, M., Sacarea, C. (eds) Formal Concept Analysis. ICFCA 2014. Lecture Notes in Computer Science(), vol 8478. Springer, Cham. https://doi.org/10.1007/978-3-319-07248-7_20
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DOI: https://doi.org/10.1007/978-3-319-07248-7_20
Publisher Name: Springer, Cham
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