Tootfinder

On the US aggression against Venezuela.
Gabriel Hetland, Murder in the Caribbean — Sidecar
https://newleftreview.org/sidecar/posts/murder-in-the-caribbean?pc=1709

Gabriel Hetland, Murder in the Caribbean — Sidecar
The campaign against Venezuela.

Affine and Projective vector fields on five-dimensional nilpotent Lie groups
M. L. Foka, R. P. Nimpa, M. B. N. Djiadeu
https://arxiv.org/abs/2509.13522 https://

Affine and Projective vector fields on five-dimensional nilpotent Lie groups
This paper presents a complete classification of left-invariant affine and projective vector fields on five-dimensional simply connected nilpotent Lie groups endowed with Riemannian metrics. Building on the classification of left-invariant metrics on five-dimensional nilpotent Lie groups made by FOKa et al., we develop an algebraic characterization of these vector fields on an arbitrary Riemannian Lie group. We then employ this framework to classify left-invariant affine and projective vector f…

'We blew it up. And we’ll do it again’.
‘I don’t give a shit what you call it.’
These words, of US Secretary of State Marco Rubio and Vice President J.D. Vance, respectively,
refer to the first of five US bombings of boats in international waters near Venezuela in the last month,
which have reportedly killed twenty-seven people overall.
Washington claims the boats were carrying drugs destined for US shores but has offered no proof;
evidence indica…

Gabriel Hetland, Murder in the Caribbean — Sidecar
The campaign against Venezuela.

One more contribution for today because it just popped up on my playlist.
Bluesberry Jam by 1 man band, Juzzie Smith
https://youtu.be/4vikmUQZpGQ?si=ku4H2fNlYof6dBoF

Does the Grothendieck ring of varieties contain nilpotent elements?
Anna Bot, Alessio Cangini, Immanuel van Santen
https://arxiv.org/abs/2509.10464 https://

Does the Grothendieck ring of varieties contain nilpotent elements?
We show that a ring closely related to the Grothendieck ring of varieties has nilpotent elements, provided that the characteristic of the ground field is equal to $11$ or at least $17$.

Replaced article(s) found for math.LO. https://arxiv.org/list/math.LO/new
[1/1]:
- A two-sorted theory of nilpotent Lie algebras
Christian d'Elb\'ee, Isabel M\"uller, Nicholas Ramsey, Daoud Siniora

Rings Whose Units Have Identity Plus Quasi-Nilpotent Square
Shahram Najafi, Ahmad Moussavi, Peter Danchev
https://arxiv.org/abs/2509.11319 https://arxiv.or…

Rings Whose Units Have Identity Plus Quasi-Nilpotent Square
In this paper, we investigate the structural and characterizing properties of the so-called {\it 2-UQ rings}, that are rings such that the square of every unit is the sum of an idempotent and a quasi-nilpotent element that commute with each other. We establish some fundamental connections between 2-UQ rings and relevant widely classes of rings including 2-UJ, 2-UU and tripotent rings. Our novel results include: (1) complete characterizations of 2-UQ group rings, showing that they force underlyi…

Single conflict coloring, adaptable choosability and separation choosability
Carl Johan Casselgren, Kalle Eriksson
https://arxiv.org/abs/2509.13913 https://

Single conflict coloring, adaptable choosability and separation choosability
We study relations between three interrelated notions of graph (list) coloring: single conflict coloring, adapted list coloring and choosability with separation (with $1$ overlapping color between lists of adjacent vertices), and their respective invariants single conflict chromatic number $χ_{\nleftrightarrow}$, adaptable choosability $ch_{ad}$ and separation choosability $ch_{sep}$. We investigate graphs with small values of these invariants, and construct explicit families of graphs $G$ wit…

Banach modules, almost mathematics and condensed mathematics
Dimitri Dine
https://arxiv.org/abs/2508.11268 https://arxiv.org/pdf/2508.11268

Banach modules, almost mathematics and condensed mathematics
We study the relationship between almost mathematics, condensed mathematics and the categories of seminormed and Banach modules over a Banach ring $A$, with submetric (norm-decreasing) $A$-module homomorphisms for morphisms. If $A$ is a Banach ring with a norm-multiplicative topologically nilpotent unit $\varpi$ contained in the closed unit ball $A_{\leq1}$ such that $\varpi$ admits a compatible system of $p$-power roots $\varpi^{1/p^{n}}$ with \begin{equation*}\lVert\varpi^{1/p^{n}}\rVert=\lVe…

Geometry of left-invariant vector fields on Lie groups
M. L. Foka, R. P. Nimpa, M. B. N. Djiadeu
https://arxiv.org/abs/2508.11440 https://arxiv.org/pdf/250…

Geometry of left-invariant vector fields on Lie groups
This paper examines the geometry of left-invariant vector fields on five-dimensional, simply connected, nilpotent Lie groups equipped with left-invariant Riemannian metrics. Using the canonical identification between the Lie algebra and the space of left-invariant vector fields, we derive algebraic characterizations for Killing, one-harmonic Killing, conformal, and concurrent vector fields. Employing a classification of these nilpotent Lie algebras into ten canonical types, we perform a case-by…