Results 11 to 20 of about 93 (67)
Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid [PDF]
Proceedings of the London Mathematical Society, 2012 Let T_n be the full transformation semigroup of all mappings from the set {1,...,n} to itself under composition. Let E = E(T_n) denote the set of idempotents of T_n and let e be an arbitrary idempotent satisfying |im(e)|=r < n-1. We prove that the maximal subgroup of the free idempotent generated semigroup over E containing e is isomorphic to the ...
Nik Ruškuc
exaly +6 more sources
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 ...
Yang Dandan +2 more
exaly +6 more sources
Free idempotent generated semigroups and endomorphism monoids of free G-acts
Journal of Algebra, 2015 The study of the free idempotent generated semigroup $\mathrm{IG}(E)$ over a biordered set $E$ began with the seminal work of Nambooripad in the 1970s and has seen a recent revival with a number of new approaches, both geometric and combinatorial. Here we study $\mathrm{IG}(E)$ in the case $E$ is the biordered set of a wreath product $G\wr \mathcal{T ...
Yang Dandan +2 more
exaly +4 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
core +9 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 +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 +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 +5 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
Cellularity for weighted KLRW algebras of types B$B$, A(2)$A^{(2)}$, D(2)$D^{(2)}$
Journal of the London Mathematical Society, Volume 107, Issue 3, Page 1002-1044, March 2023., 2023 Abstract This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types BZ⩾0$B_{\mathbb {Z}_{\geqslant 0}}$, A2·e(2)$A^{(2)}_{2\cdot e}$, De+1(2)$D^{(2)}_{e+1}$. Our construction immediately gives homogeneous sandwich cellular bases for the finite‐dimensional quotients of these algebras. Since weighted KLRW algebras
Andrew Mathas, Daniel Tubbenhauer
wiley +1 more source