Results 11 to 20 of about 77 (63)
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
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 +5 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
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
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
The enumeration of finite rings
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3240-3262, December 2022., 2022 Abstract Let p$p$ be a fixed prime. We show that the number of isomorphism classes of finite rings of order pn$p^n$ is pα$p^\alpha$, where α=427n3+O(n5/2)$\alpha =\frac{4}{27}n^3+\mathnormal {O}(n^{5/2})$. This result was stated (with a weaker error term) by Kruse and Price in 1969; a problem with their proof was pointed out by Knopfmacher in 1973.
Simon R. Blackburn, K. Robin McLean
wiley +1 more source
Weakly binary expansions of dense meet‐trees
Mathematical Logic Quarterly, Volume 68, Issue 1, Page 32-47, February 2022., 2022 Abstract We compute the domination monoid in the theory DMT$\mathsf {DMT}$ of dense meet‐trees. In order to show that this monoid is well‐defined, we prove weak binarity of DMT$\mathsf {DMT}$ and, more generally, of certain expansions of it by binary relations on sets of open cones, a special case being the theory DTR$\mathsf {DTR}$ from [7].
Rosario Mennuni
wiley +1 more source
On the extreme non‐Arens regularity of Banach algebras
Journal of the London Mathematical Society, Volume 104, Issue 4, Page 1840-1860, November 2021., 2021 Abstract As is well‐known, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper, we show that ℓ1‐bases which approximate upper and lower triangles of products of elements in the algebra produce large sets of functionals that are not weakly almost periodic.
Mahmoud Filali, Jorge Galindo
wiley +1 more source
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 +5 more sources
Free idempotent generated semigroups and endomorphism monoids of independence algebras [PDF]
Semigroup Forum, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gould, Victoria Ann Rosalind +1 more
openaire +4 more sources