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Hanna Neumann in

[American Journal of Mathematics, 1948,

http://www.jstor.org/discover/10.2307/2372201?uid=2&uid=4&sid=21102497379451 ]

introduced a notion of generalized free product of groups $G_i$ with amalgamated subgroups $H_{ij}< G_i$. Did anybody consider this construction for semigroups? Thank you in advance.

Hanna Neumann in

[American Journal of Mathematics, 1948,

http://www.jstor.org/discover/10.2307/2372201?uid=2&uid=4&sid=21102497379451 ]

introduced a notion of generalized free product of groups $G_i$ with amalgamated subgroups $H_{ij}< G_i$. Did anybody consider this construction for semigroups? Thank you in advance.

This question arose while studying partial actions of groups on semigroups.

Hanna Neumann in

[American Journal of Mathematics, 1948, http://www.jstor.org/discover/10.2307/2372201?uid=2&uid=4&sid=21102497379451]

introduced a notion of generalized free product of groups $G_i$ with amalgamated subgroups $H_{ij}< G_i$. Did anybody consider this construction for semigroups? Thank you in advance.

Hanna Neumann in

[American Journal of Mathematics, 1948,

http://www.jstor.org/discover/10.2307/2372201?uid=2&uid=4&sid=21102497379451 ]

introduced a notion of generalized free product of groups $G_i$ with amalgamated subgroups $H_{ij}< G_i$. Did anybody consider this construction for semigroups? Thank you in advance.