Results 81 to 90 of about 3,028 (216)

Bijections and homomorphisms

open access: yesSemigroup Forum, 1984
Conditions on a map \(f:L\to M\) from a lattice L to a lattice M are considered under which f is a homomorphism of lattices in the case when f is a bijection. The main result of the paper is the following Theorem 4. Let L and M be lattices and let f:\(L\to M\) be a bijection.
Johnson, J., Moss, K.
openaire   +1 more source

Steiner Triple Systems With High Discrepancy

open access: yesJournal of Combinatorial Designs, Volume 34, Issue 1, Page 5-14, January 2026.
ABSTRACT In this paper, we initiate the study of discrepancy questions for combinatorial designs. Specifically, we show that, for every fixed r ≥ 3 and n ≡ 1 , 3 ( mod 6 ), any r‐colouring of the triples on [ n ] admits a Steiner triple system of order n with discrepancy Ω ( n 2 ).
Lior Gishboliner   +2 more
wiley   +1 more source

Module structure of Weyl algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Coxeter's enumeration of Coxeter groups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

New upper bound for lattice covering by spheres

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract We show that there exists a lattice covering of Rn$\mathbb {R}^n$ by Euclidean spheres of equal radius with density O(nlnβn)$O\big (n \ln ^{\beta } n \big)$ as n→∞$n\rightarrow \infty$, where β≔12log28πe33=1.85837….$$\begin{align*} \beta \coloneqq \frac{1}{2} \log _2 {\left(\frac{8 \pi \mathrm{e}}{3\sqrt 3}\right)}=1.85837\,\ldots . \end{align*
Jun Gao   +3 more
wiley   +1 more source

Latent Complete-Lattice Structure of Hilbert-Space Projectors

open access: yesQuanta, 2019
To uncover the hidden complete-lattice structure of Hilbert-space projectors, which is not seen by the operator operations and relations (algebraically), resort is taken to the ranges of projectors (to subspaces—to geometry).
Fedor Herbut
doaj   +1 more source

On Baire bijection

open access: yesTopology and its Applications, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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