Results 21 to 30 of about 5,621,789 (82)
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
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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
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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
, 2012 In this thesis we consider in detail the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by it.
Ruškuc, Nik
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Free idempotent generated semigroups: The word problem and structure via gain graphs [PDF]
Israel Journal of Mathematics, 2021 Building on the previous extensive study of Yang, Gould and the present author, we provide a more precise insight into the group-theoretical ramifications of the word problem for free idempotent generated semigroups over finite biordered sets. We prove that such word problems are in fact equivalent to the problem of computing intersections of cosets of
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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
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Semigroups of order-decreasing transformations [PDF]
, 2012 Let X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial one-to-one) transformations has been
Umar, Abdullahi
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Free idempotent generated semigroups over bands and biordered sets with trivial products [PDF]
International Journal of Algebra and Computation, 2016 For any biordered set of idempotents [Formula: see text] there is an initial object [Formula: see text], the free idempotent generated semigroup over[Formula: see text], in the category of semigroups generated by a set of idempotents biorder-isomorphic to [Formula: see text].
Yang, Dandan +1 more
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On disjoint unions of finitely many copies of the free monogenic semigroup [PDF]
, 2013 Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.Peer ...
Ruskuc, Nik, Abughazalah, Nabilah
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