Results 81 to 90 of about 17,323 (202)

Fermion condensation and super pivotal categories [PDF]

open access: yes, 2018
We study fermionic topological phases using the technique of fermion condensation. We give a prescription for performing fermion condensation in bosonic topological phases which contain a fermion.
Aasen, David, Lake, Ethan, Walker, Kevin
core   +1 more source

Commutators and Anti-Commutators of Idempotents in Rings

open access: yes, 2018
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
core   +1 more source

Idempotents in Matrix Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1994
Let R be a commutative, von Neumann regular ring and M n ( R ) {M_n}(R) the ring of n × n n \times n matrices over R. What are the idempotents in M n (
Barnett, Christopher, Camillo, Victor
openaire   +1 more source

A classification of Prüfer domains of integer‐valued polynomials on algebras

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

Blocks in flat families of finite-dimensional algebras

open access: yes, 2017
We study the behavior of blocks in flat families of finite-dimensional algebras. In a general setting we construct a finite directed graph encoding a stratification of the base scheme according to the block structures of the fibers.
Thiel, Ulrich
core   +1 more source

The ∞$\infty$‐categorical reflection theorem and applications

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley   +1 more source

Products of Idempotent Operators

open access: yesIntegral Equations and Operator Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arias, Maria Laura   +2 more
openaire   +2 more sources

On the Q‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure

open access: yesJournal of Combinatorial Designs, Volume 34, Issue 2, Page 69-86, February 2026.
ABSTRACT Let Γ denote a finite, connected graph with vertex set X. Fix x ∈ X and let ε ≥ 3 denote the eccentricity of x. For mutually distinct scalars { θ i * } i = 0 ε define a diagonal matrix A * = A * ( θ 0 * , θ 1 * , … , θ ε * ) ∈ Mat X ( R ) as follows: for y ∈ X we let ( A * ) y y = θ ∂ ( x , y ) *, where ∂ denotes the shortest path length ...
Blas Fernández   +3 more
wiley   +1 more source

Grothendieck quantaloids for allegories of enriched categories [PDF]

open access: yes, 2011
For any small involutive quantaloid Q we define, in terms of symmetric quantaloid-enriched categories, an involutive quantaloid Rel(Q) of Q-sheaves and relations, and a category Sh(Q) of Q-sheaves and functions; the latter is equivalent to the category ...
Heymans, Hans, Stubbe, Isar
core  

An idempotent not conjugate with its complementary idempotent

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics
Summary: In \(\mathbb{M}_2(\mathbb{Z}[i\sqrt{5}])\), we show that the idempotent \(\begin{bmatrix} 3&\alpha\\-\overline{\alpha}&-2\end{bmatrix}\) with \(\alpha=1+i\sqrt{5}\) is not similar to its complementary idempotent.
Călugăreanu, Grigore, Pop, Horia F.
openaire   +1 more source

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