Results 11 to 20 of about 1,621 (217)

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

On Amenability-Like Properties of a Class of Matrix Algebras

Journal of Mathematics, 2022
In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
doaj   +1 more source

Nonlinear maps preserving Lie products on triangular algebras

Special Matrices, 2016
In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre.
Yu Weiyan
doaj   +1 more source

Product of derivations on triangular banach algebras [PDF]

Journal of Hyperstructures, 2017
In this paper, we give a necessary and sufficient condition for the product of two derivations on the triangular Banach algebra to be a derivation. We also study the case where the product of derivations is commutative.
Mohammad Hossein Sattari, Hamid Shafieasl   +1 more
doaj   +1 more source

Triangular norm-based intuitionistic fuzzy BE-algebras and filters [PDF]

Notes on IFS
In this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail,
Sinem Tarsuslu (Yılmaz)
doaj   +1 more source

Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines)

Nuclear Physics B, 2022
In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model (square lattice with two lines). All these lead to representation of N=2 algebra.
Valerii Sopin
doaj   +1 more source

The Characterization of Generalized Jordan Centralizers on Triangular Algebras

Journal of Function Spaces, 2018
In this paper, it is shown that if T=Tri(A,M,B) is a triangular algebra and ϕ is an additive operator on T such that (m+n+k+l)ϕ(T2)-(mϕ(T)T+nTϕ(T)+kϕ(I)T2+lT2ϕ(I))∈FI for any T∈T, then ϕ is a centralizer. It follows that an (m,n)- Jordan centralizer on a
Quanyuan Chen, Xiaochun Fang, Changjing Li   +2 more
doaj   +1 more source

Nilpotent Lie algebras of derivations with the center of small corank

Karpatsʹkì Matematičnì Publìkacìï, 2020
Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk   +2 more
doaj   +1 more source

Approximate Biprojectivity of ℓ1-Munn Banach Algebras

Journal of Mathematics, 2022
In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA.
G. Zarei, A. Pourabbas, M. Rostami, A. Sahami   +3 more
doaj   +1 more source

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra

International Journal of Mathematics and Mathematical Sciences, 2005
We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss, Ben Yakoub l'Moufadal   +1 more
doaj   +1 more source