Results 71 to 80 of about 3,245 (221)
The Boolean spectrum of a Grothendieck category
Abstract A notion of support for objects in any Grothendieck category is introduced. This is based on the spectral category of a Grothendieck category and uses its Boolean lattice of localising subcategories. The support provides a classification of all subcategories that are closed under arbitrary coproducts, subobjects, and essential extensions ...
Henning Krause
wiley +1 more source
Bordered Floer homology, handlebody detection, and compressing diffeomorphisms
Abstract We show that, up to connected sums with integer homology L$L$‐spaces, bordered Floer homology detects handlebodies, as well as whether a mapping class extends over a given handlebody or compression body. Using this, we combine ideas of Casson–Long with the theory of train tracks to give an algorithm using bordered Floer homology to detect ...
Akram Alishahi, Robert Lipshitz
wiley +1 more source
On separable extensions of group rings and quaternion rings
The purposes of the present paper are (1) to give a necessary and sufficient condition for the uniqueness of the separable idempotent for a separable group ring extension RG(R may be a non-commutative ring), and (2) to give a full description of the set ...
George Szeto
doaj +1 more source
Parametrised functor calculus: Excision, spheres, and semiadditivity
Abstract We lay down the foundations of a theory of parametrised functor calculus, generalising parts of the functor calculus of Goodwillie. We introduce the notion of excisable posets and develop a theory of excisive approximations in this context. As an application, we introduce two different excisable posets when parametrising over an atomic orbital
Kaif Hilman, Sil Linskens
wiley +1 more source
Universal properties of Delannoy categories
Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier +2 more
wiley +1 more source
Amenability Constants for Unconditional Sums of Banach Algebras
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
Advances in large DNA fragment assembly for microbial cell factory engineering
Abstract The efficient, rapid, and reliable assembly of DNA fragments is essential for advancing metabolic engineering and synthetic biology. With the rapid advancement of DNA synthesis and assembly technologies, the scale of DNA assembly has expanded from single genes to metabolic pathways and even genomes.
Yu Zhang +5 more
wiley +1 more source
Idempotents and structures of rings [PDF]
Recall that an n-by-n generalized matrix ring is defined in terms of sets of rings (Formula presented.)-bimodules (Formula presented.) and bimodule homomorphisms (Formula presented.), where the set of diagonal matrix units (Formula presented.) form a ...
Birkenmeier, G. F. +2 more
core +1 more source
Technologies for engineering repetitive DNA
Abstract Repetitive DNA, a fundamental architectural element of genomes, is widespread across organisms and comprises about 54% of the human genome. With advances in long‐read sequencing and bioinformatics approaches, highly repetitive sequences can now be characterized in depth.
Shuting Ma, Yali Cui, Yi Wu
wiley +1 more source
Products of Idempotent Operators
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arias, Maria Laura +2 more
openaire +2 more sources

