@article {IOPORT.01562168,
    author       = {Ershov, M.V.},
    title        = {On distortion of subsemigroups.},
    year         = {1999},
    journal      = {Moscow University Mathematics Bulletin},
    volume       = {54},
    number       = {4},
    issn         = {0027-1322},
    pages        = {56-58},
    publisher    = {Allerton Press, New York, NY; Springer, New York},
    abstract     = {Let $S$ be an arbitrary semigroup, $l\colon S\to\bbfZ^+$ be some function. According to A.~Yu.~Ol'shanskij it is of interest under what conditions on $l$ the semigroup $S$ can be embedded into some semigroup $H$ of a definite class so that $l(s)\sim|s|_H$, where $|s|_H$ is the length of the shortest word in $H$ representing $s$. The author finds an answer to this question when $H$ is finitely generated. Also sufficient conditions on $l$ are established for the case when $H$ is finitely presented. The results obtained are similar to the corresponding theorems for groups [see {\it A.~Yu.~Ol'shanskij}, Proc. special year in geometric group theory, Canberra 1996, Berlin, de~Gruyter, 281-291 (1999); Mat. Sb. 188, No.~1, 51-98 (1997; Zbl 0905.20020)].},
    reviewer     = {V.~G.~Miladzhanov (Andizhan)},
    identifier   = {01562168},
}