Results 81 to 90 of about 1,345 (175)

The Duality between Corings and Ring Extensions

Axioms, 2012
We study the duality between corings and ring extensions. We construct a new category with a self-dual functor acting on it, which extends that duality.
Florin F. Nichita, Bartosz Zielinski
doaj   +1 more source

Aquatic Insect Thermal Responses Vary by Physiological Rate and Diet

Freshwater Biology, Volume 71, Issue 9, September 2026.
ABSTRACT Temperature is an important control on metabolic rate and organismal contribution to ecosystem processes. Many studies have measured aquatic insect thermal performance, but fewer have simultaneously measured thermal responses for multiple physiological rates and examined how these responses are modulated by diet.
Carolyn S. Cummins, Amy D. Rosemond, Halvor M. Halvorson, Amanda T. Rugenski, Nathan J. Tomczyk, Seth J. Wenger, Phillip M. Bumpers, Vladislav Gulis, Phoenix A. Rogers, Jonathan P. Benstead   +9 more
wiley   +1 more source

Boundary Solutions of the Classical Yang--Baxter Equation

Letters in Mathematical Physics, 1997
We define a new class of unitary solutions to the classical Yang-Baxter equation (CYBE). These ``boundary solutions'' are those which lie in the closure of the space of unitary solutions to the modified classical Yang-Baxter equation (MCYBE). Using the Belavin-Drinfel'd classification of the solutions to the MCYBE, we are able to exhibit new families ...
Gerstenhaber, M., Giaquinto, A.
openaire   +2 more sources

Auxiliary field sigma models and Yang-Baxter deformations

Journal of High Energy Physics
We combine the Yang-Baxter (YB) and bi-Yang-Baxter (bi-YB) deformations with higher-spin auxiliary field deformations to construct multi-parameter families of integrable deformations of the principal chiral model on a Lie group G with semi-simple Lie ...
Daniele Bielli, Christian Ferko, Liam Smith, Gabriele Tartaglino-Mazzucchelli   +3 more
doaj   +1 more source

Commuting solutions of the Yang–Baxter matrix equation

Applied Mathematics Letters, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiu Ding, Chenhua Zhang, Noah H. Rhee
openaire   +3 more sources

Set-Theoretical Solutions for the Yang–Baxter Equation in GE-Algebras: Applications to Quantum Spin Systems

Axioms
This manuscript presents set-theoretical solutions to the Yang–Baxter equation within the framework of GE-algebras by constructing mappings that satisfy the braid condition and exploring the algebraic properties of GE-algebras.
Ibrahim Senturk, Tahsin Oner, Abdullah Engin Çalık, Hüseyin Şirin, Metin Bilge, Neelamegarajan Rajesh   +5 more
doaj   +1 more source

Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices

Advances in Mathematical Physics, 2017
Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. We explicitly determine all Rota-Baxter operators (of weight zero) on the 3-dimensional Lie algebras g.
Linli Wu, Mengping Wang, Yongsheng Cheng
doaj   +1 more source

Rota–Baxter Operators on Dihedral and Alternating Groups [PDF]

Advances in Group Theory and Applications
Rota–Baxter operators on algebras, which appeared in 1960, have connections with different versions of the Yang–Baxter equation, pre- and postalgebras, double Poisson algebras, etc. In 2020, the notion of Rota–Baxter operator on a group was defined by L.
Alexey Galt, Vsevolod Gubarev
doaj   +1 more source

Subprime solutions of the classical Yang–Baxter equation [PDF]

Journal of Algebra, 2019
16 pages, v2 includes proofs of Lemmas 4.2 and 4.3, to appear in Journal of ...
openaire   +3 more sources

On Some Unification Theorems: Yang–Baxter Systems; Johnson–Tzitzeica Theorem

Axioms
This paper investigates the properties of the Yang–Baxter equation, which was initially formulated in the field of theoretical physics and statistical mechanics.
Florin Felix Nichita
doaj   +1 more source