… for systems of equations in a free inverse monoid of rank at least … equations in a free inverse
monoid induces a solution to the corresponding system of equations in the associated free …

… the free inverse monoid of rank r (and hence an upper bound on the corresponding rate for
all r-generated inverse monoids … We divide the polynomial equation throughout by p2p−2 to …

… the solutions of the commutativity equation xy = yx in free inverse monoids. The main result
… alization to free inverse monoids of the solutions of the same equation in free monoids. Let x …

… variables for studying equations in inverse monoids. It is proved … of equations in idempotent
variables over a free inverse … the present paper we study equations over inverse monoids. …

… monoid. In addition given any finite system of equations S in a free inverse monoid, we
associate a single equation u = v in FIM (B ), where BDA In. such a way that the …

… group to the problem of word equation with regular constraints over a free monoid with …
equation over the free monoid, see Section 2.1, and only afterwards the similar notions for a free …

… It is then natural to ask whether other free algebras in varieties of monoids, possibly with an
… We demonstrate that free inverse monoids are not.Munn described the free inverse monoid …

… Hence, by the Vagner equations, idempotent elements in an inverse monoid … to free partially
commutative inverse monoids. These inverse monoids result from free inverse monoids by …

… ), free partially commutative inverse monoids are defined as quotients of free inverse monoids
… First, we include equations in P which allow to mimic the behaviour of the Turing machine. …

… Abstract The Möbius inversion formula, introduced during the 19th century in num… of monoids
called locally finite such as the free partially commutative, plactic and hypoplactic monoids …