Geodesic
On maximal chains of systems of word equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algorithmic aspects of algebra and logic, Tome 274 (2011), pp. 130-136

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We consider systems of word equations and their solution sets. We discuss some fascinating properties of those, namely the size of a maximal independent set of word equations, and proper chains of solution sets of those. We recall the basic results, extend some known results and formulate several fundamental problems of the topic. 
@article{TM_2011_274_a7,
     author = {Juhani Karhum\"aki and Aleksi Saarela},
     title = {On maximal chains of systems of word equations},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {130--136},
     publisher = {mathdoc},
     volume = {274},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2011_274_a7/}
}
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Juhani Karhumäki; Aleksi Saarela. On maximal chains of systems of word equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algorithmic aspects of algebra and logic, Tome 274 (2011), pp. 130-136. http://geodesic.mathdoc.fr/item/TM_2011_274_a7/