Results 11 to 20 of about 5,621,789 (82)
A group-theoretical interpretation of the word problem for free idempotent generated semigroups [PDF]
Advances in Mathematics, 2019 The set of idempotents of any semigroup carries the structure of a biordered set, which contains a great deal of information concerning the idempotent generated subsemigroup of the semigroup in question. This leads to the construction of a free idempotent generated semigroup $\mathsf{IG}(\mathcal{E})$ - the `free-est' semigroup with a given biordered ...
Victoria Gould, Igor Dolinka
exaly +7 more sources
EVERY GROUP IS A MAXIMAL SUBGROUP OF THE FREE IDEMPOTENT GENERATED SEMIGROUP OVER A BAND [PDF]
International Journal of Algebra and Computation, 2013 Given an arbitrary group G we construct a semigroup of idempotents (band) BGwith the property that the free idempotent generated semigroup over BGhas a maximal subgroup isomorphic to G. If G is finitely presented then BGis finite. This answers several questions from recent papers in the area.
Igor Dolinka, Nik Ruskuc
openaire +7 more sources
PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET [PDF]
International Journal of Algebra and Computation, 2010 We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup.
David Easdown +2 more
openaire +8 more sources
Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups [PDF]
Advances in Mathematics48 pages, 7 figures, 4 tables.
East, James +3 more
core +6 more sources
Maximal subgroups of free idempotent generated semigroups over the full linear monoid [PDF]
Transactions of the American Mathematical Society, 2013 We show that the rank r r component of the free idempotent generated semigroup of the biordered set of the full linear ...
Dolinka, Igor, Gray, Robert D.
openaire +6 more sources
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.This paper investigates the maximal subgroups of a free projection-generated regular $*$-semigroup $PG(P)$ over a projection algebra $P$, and their relationship to the maximal subgroups of the free idempotent-generated semigroup $IG(E)$ over the corresponding biordered set $E = E(P)$.
East, James +3 more
openaire +3 more sources
Beyond Regular Semigroups [PDF]
, 2012 The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
core +6 more sources
On regularity and the word problem for free idempotent generated semigroups [PDF]
Proceedings of the London Mathematical Society, 2014 Peer ...
Dolinka, Igor +2 more
+8 more sources
Free idempotent generated semigroups: subsemigroups, retracts and maximal subgroups [PDF]
Communications in Algebra, 2017 Let S be a subsemigroup of a semigroup T and let IG(E) and IG(F) be the free idempotent generated semigroups over the biordered sets of idempotents of E of S and F of T, respectively.
Yang, Dandan +2 more
openaire +2 more sources
Dynamic asymptotic dimension and Matui's HK conjecture
Proceedings of the London Mathematical Society, Volume 126, Issue 4, Page 1182-1253, April 2023., 2023 Abstract We prove that the homology groups of a principal ample groupoid vanish in dimensions greater than the dynamic asymptotic dimension of the groupoid (as a side‐effect of our methods, we also give a new model of groupoid homology in terms of the Tor groups of homological algebra, which might be of independent interest).
Christian Bönicke +3 more
wiley +1 more source