TY - JOUR
T1 - A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication
AU - Ivanov-Pogodaev, Ilya
AU - Malev, Sergey
AU - Sapir, Olga
N1 - Publisher Copyright:
© 2018 World Scientific Publishing Company.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - This work provides an example of a finitely presented semigroup H with zero containing an infinite ideal of the form I = LH, where L is a generator of H, such that every word in generators representing an element of I is square free (i.e. any word of the type LXYYZ, for non-empty Y, equals zero in H).
AB - This work provides an example of a finitely presented semigroup H with zero containing an infinite ideal of the form I = LH, where L is a generator of H, such that every word in generators representing an element of I is square free (i.e. any word of the type LXYYZ, for non-empty Y, equals zero in H).
KW - Finitely presented semigroups
KW - nil ideals
KW - nil rings
KW - nil semigroups
UR - http://www.scopus.com/inward/record.url?scp=85052954942&partnerID=8YFLogxK
U2 - 10.1142/S0218196718400088
DO - 10.1142/S0218196718400088
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AN - SCOPUS:85052954942
SN - 0218-1967
VL - 28
SP - 1565
EP - 1573
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
IS - 8
ER -