We compute the étale cohomology ring $H^*(\text{Spec } \mathcal{O}_K,\mathbb{Z}/n\mathbb{Z})$ where $\mathcal{O}_K$ is the ring of integers of a number field $K.$ As an application, we give a non-vanishing formula for an invariant defined by Minhyon...
Molly Ringwald. Actress: Sixteen Candles. Molly Ringwald was born in Roseville, California, the youngest daughter of Adele Edith (Frembd), a chef, and Robert Ringwald, a blind jazz pianist. Her …
When a drop dries, it often leaves a ring-shaped stain through a ubiquitous phenomenon known as the coffee-ring effect. This also occurs when the liquid contains suspended microbes; evaporation leaves cells at higher concentrations in the ring than t...
As part of stratification of Cohen-Macaulay rings, we introduce and develop the theory of Goto rings, generalizing the notion of almost Gorenstein rings originally defined by V. Barucci and R. Fröberg in 1997. What has dominated the series of resear...
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Tolkien fandom Ringers: Lord of the Fans, a documentary on the subject Ringer (film) [fr], a 1996 film starring Timothy Bottoms Ringer (TV series), starring
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**Game Title**: Elden Ring **Release Date**: 25/02/2022 **Trailers**: - [ELDEN RING – Rise, Tarnished | Official Launch Trailer](https://www.youtube.com/watch?v=UhD0_MM4fnU) - [ELDEN RING – Off...
I am interested in getting a smart ring and have been looking into Optim. Does anyone have it? How do you like it? Or if there’s another you like. However I do not want the oura ring or any ring th...
We consider a class of non-reduced valuation rings, known in the literature as chain rings. We observe that the Grothendieck topology generated by the Zariski topology and smooth blowup squares is exactly the topology which has chain rings for its lo...
We investigate the Cox ring of a normal complete variety X with algebraic torus action. Our first results relate the Cox ring of X to that of a maximal geometric quotient of X. As a consequence, we obtain a complete description of the Cox ring in t...
We present a method to generate all fusion rings of a specific rank and multiplicity. This method was used to generate exhaustive lists of fusion rings up to order 9 for several multiplicities. We introduce a class of non-commutative fusion rings bas...
Köthe's classical problem posed by G. Köthe in 1935 asks to describe the rings $R$ such that every left $R$-module is a direct sum of cyclic modules (these rings are known as left Köthe rings). Köthe, Cohen and Kaplansky solved this problem for a...
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In fact, some fan AUs even answer this by having the sinners who embody one of the seven deadly sins be condemned to that ring of said sin....
We prove a new extension result for $QB-$rings that allows us to examine extensions of rings where the ideal is purely infinite and simple. We then use this result to explore various constructions that provide new examples of $QB-$rings. More concr...
Toxic because I think a promise ring could make a younger, more naive person feel pressured to stay in a relationship that, for a wide array of reasons, has already run it’s course. A promise ring could also …
In co-orbital planetary systems, two or more planets share the same orbit around their star. Here we test the dynamical stability of co-orbital rings of planets perturbed by outside forces. We test two setups: i) 'stationary' rings of planets that, w...
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