TY - JOUR
T1 - Prime monomial ideals of algebras of subsemigroups of free nilpotent groups
AU - Bauer, Tomer
AU - Greenfeld, Be’eri
N1 - Publisher Copyright:
© 2021, The Hebrew University of Jerusalem.
PY - 2021/3
Y1 - 2021/3
N2 - We study prime monomial homomorphic images of the semigroup algebra of the subsemigroup of the 2-generated free 3-nilpotent group generated by the (positive) group generators. In particular, we show that they are either PI of linear growth or primitive just-infinite of quadratic growth. This partially answers a question of Okniński.
AB - We study prime monomial homomorphic images of the semigroup algebra of the subsemigroup of the 2-generated free 3-nilpotent group generated by the (positive) group generators. In particular, we show that they are either PI of linear growth or primitive just-infinite of quadratic growth. This partially answers a question of Okniński.
UR - http://www.scopus.com/inward/record.url?scp=85100889747&partnerID=8YFLogxK
U2 - 10.1007/s11856-021-2103-7
DO - 10.1007/s11856-021-2103-7
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AN - SCOPUS:85100889747
SN - 0021-2172
VL - 241
SP - 527
EP - 538
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -