Results 121 to 130 of about 6,335 (253)

Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations [PDF]

open access: yes, 2009
We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution.
Gilson, C.R.   +5 more
core   +1 more source

The singularity category and duality for complete intersection groups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

On Commutative Reduced Baer Rings [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2004
It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
doaj  

On the commutativity of near-rings III [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1972
Part of the recent work on near-rings has been concerned with sufficient conditions for near-rings to be commutative. Recently Howard E. Bell proved that if a d.g. near-ring R has an identity and for each x, y in R, there exists an n(x, y) > 1, such that (xy−yx)n(x, y) = xy − yx, then R is a commutative ring.
openaire   +3 more sources

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

Rickard's derived Morita theory: Review and outlook

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso   +2 more
wiley   +1 more source

Commutative coherent rings

open access: yes, 1989
This book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the ...
Glaz, Sarah
core   +1 more source

A signature-based algorithm for computing Gröbner-Shirshov bases in skew solvable polynomial rings

open access: yesOpen Mathematics, 2015
Signature-based algorithms are efficient algorithms for computing Gröbner-Shirshov bases in commutative polynomial rings, and some noncommutative rings. In this paper, we first define skew solvable polynomial rings, which are generalizations of solvable ...
Zhao Xiangui, Zhang Yang
doaj   +1 more source

The N‐prime graph and the Subgroup Isomorphism Problem

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici   +2 more
wiley   +1 more source

Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
wiley   +1 more source

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