Results 31 to 40 of about 888,172 (204)

A functor for constructing R$R$ ‐matrices in the category O$\mathcal {O}$ of Borel quantum loop algebras [PDF]

Journal of the London Mathematical Society, 2023
We tackle the problem of constructing R$R$ ‐matrices for the category O$\mathcal {O}$ associated to the Borel subalgebra of an arbitrary untwisted quantum loop algebra Uq(g)$U_q({\mathfrak {g}})$ .
T. Pinet
semanticscholar   +1 more source

Largest exact structures and almost split sequences on hearts of twin cotorsion pairs [PDF]

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2023
Hearts of cotorsion pairs on extriangulated categories are abelian categories. On the other hand, hearts of twin cotorsion pairs are not always abelian. They were shown to be semi-abelian by Liu and Nakaoka.
Y. Liu, Wuzhong Yang, Panyue Zhou
semanticscholar   +1 more source

Modified Traces and the Nakayama Functor [PDF]

Algebras and Representation Theory, 2021
We organize the modified trace theory with the use of the Nakayama functor of finite abelian categories. For a linear right exact functor Σ on a finite abelian category M ${\mathscr{M}}$ , we introduce the notion of a Σ -twisted trace on the class Proj (
Taiki Shibata, K. Shimizu
semanticscholar   +1 more source

On Frobenius exact symmetric tensor categories [PDF]

Annals of Mathematics, 2021
A fundamental theorem of P. Deligne (2002) states that a pre-Tannakian category over an algebraically closed field of characteristic zero admits a fiber functor to the category of supervector spaces (i.e., is the representation category of an affine ...
K. Coulembier, P. Etingof, V. Ostrik
semanticscholar   +1 more source

Lagrangian cobordism functor in microlocal sheaf theory I [PDF]

Journal of Topology, 2021
Let Λ±$\Lambda _\pm$ be Legendrian submanifolds in the cosphere bundle T∗,∞M$T^{*,\infty }M$ . Given a Lagrangian cobordism L$L$ of Legendrians from Λ−$\Lambda _-$ to Λ+$\Lambda _+$ , we construct a functor ΦL*:ShΛ+c(M)→ShΛ−c(M)⊗C−*(Ω*Λ−)C−*(Ω*L ...
Wenyuan Li
semanticscholar   +1 more source

Moss' logic for ordered coalgebras [PDF]

Logical Methods in Computer Science, 2022
We present a finitary version of Moss' coalgebraic logic for $T$-coalgebras, where $T$ is a locally monotone endofunctor of the category of posets and monotone maps.
Marta Bílková, Matěj Dostál
doaj   +1 more source

Direct Limit of Krasner (m, n)-Hyperrings [PDF]

Journal of Sciences, Islamic Republic of Iran, 2020
The purpose of this paper is the study of direct limits in category of Krasner (m, n)-hyperrings. In this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings.
Reza Ameri, Ameneh Asadi
doaj   +1 more source

Some functors on Grothendieck exact sequences of type I [PDF]

Journal of the Mathematical Society of Japan, 1976
C. L. Sharma
openalex   +4 more sources

A Note On E-Injective Modules

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
Let 𝑅 be a commutative ring with identity, 𝑀 an 𝑅-module and 𝐸 a torsion-free 𝑅-module. A submodule 𝑁 of 𝑀 is said to be essential (large) in 𝑀 if the intersection of 𝑁 with each nonzero submodule of 𝑀 is nonzero, that is, 𝑁 ∩ 𝑅𝑚 ≠ 0 for any nonzero ...
Osama Naji, Abuzer Gündüz
doaj   +1 more source

Functors Induced by Cauchy Extension of C$^ast$-algebras [PDF]

Sahand Communications in Mathematical Analysis, 2019
In this paper, we give three functors $mathfrak{P}$, $[cdot]_K$ and $mathfrak{F}$ on the category of C$^ast$-algebras. The functor $mathfrak{P}$ assigns to each C$^ast$-algebra $mathcal{A}$ a pre-C$^ast$-algebra $mathfrak{P}(mathcal{A})$ with completion $
Kourosh Nourouzi, Ali Reza
doaj   +1 more source