@inproceedings{6f77618b09d644438c805d06b62d34aa,

title = "Pythagorean triples in unification theory of nilpotent rings",

abstract = "All solutions of Pythagorean equation (P-equation) (Formula presented) in relatively free rings of varieties of n-nilpotent associative or associative-commutative rings (n=3,4) are described. In particular, it is shown that Pythagorean equation has no minimal and complete set of solutions in free rings of such varieties, so unification type of these varieties is nullary. This is also valid for the variety of associative-commutative 3 (or 4)-nilpotent rings of characteristic two.",

author = "Ruvim Lipyanski",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2001.; 13th International Symposium on Fundamentals of Computation Theory, FCT 2001 ; Conference date: 22-08-2001 Through 24-08-2001",

year = "2001",

month = jan,

day = "1",

doi = "10.1007/3-540-44669-9_40",

language = "English",

isbn = "9783540446699",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "392--395",

editor = "Rusins Freivalds",

booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

address = "Germany",

}