On maximal chains of systems of word equations
: Karhumaki J, Saarela A
Publisher: MAIK NAUKA/INTERPERIODICA/SPRINGER
: 2011
: Proceedings of the Steklov Institute of Mathematics
: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS
: P STEKLOV I MATH+
: 1
: 274
: 1
: 116
: 123
: 8
: 0081-5438
DOI: https://doi.org/10.1134/S0081543811060083
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.