Yurii Zhuchok, Günter Pilz, Anatolii V. Zhuchok,
"On embedding groups into digroups"
, in Algebra and Discrete Mathematics, Vol. 38, Nummer 2, Elsevier, Seite(n) 270-287, 2024, ISSN: 1726-3255
Original Titel:
On embedding groups into digroups
Sprache des Titels:
Englisch
Original Kurzfassung:
We show that any group (semigroup)
can be embedded into a suitable non-trivial digroup (dimonoid).We present a universal extension for an arbitrary dimonoid, givea construction of the free abelian generalized digroup and characterize the least group congruence on it.