Results 11 to 20 of about 3,750 (203)

Nearly Jordan ∗-Homomorphisms between Unital 𝐶∗-Algebras [PDF]

Abstract and Applied Analysis, 2011
Let 𝐴, 𝐵 be two unital 𝐶∗-algebras. We prove that every almost unital almost linear mapping ℎ : 𝐴→𝐵 which satisfies ℎ(3𝑛𝑢𝑦+3𝑛𝑦𝑢)=ℎ(3𝑛𝑢)ℎ(𝑦)+ℎ(𝑦)ℎ(3𝑛𝑢) for all 𝑢∈𝑈(𝐴), all 𝑦∈𝐴, and all 𝑛=0,1,2,…, is a Jordan homomorphism.
A. Ebadian, S. Kaboli Gharetapeh, M. Eshaghi Gordji   +2 more
doaj   +2 more sources

A survey of s-unital and locally unital rings

Revista Integración, 2019
We gather some classical results and examples that show strict inclusion between the families of unital rings, rings with enough idempotents, rings with sets of local units, locally unital rings, s-unital rings and idempotent rings.
Patrik Nystedt
doaj   +3 more sources

About unital and non-unital duo rings [PDF]

Proceedings of the Estonian Academy of Sciences
Several results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
doaj   +2 more sources

Evaluation of non-unital qubit channel capacities

Учёные записки Казанского университета: Серия Физико-математические науки, 2018
We have applied quantum Sinkhorn's theorem to non-unital qubit channels and derived lower and upper bounds on the classical capacity of such channels.
S.N. Filippov
doaj   +1 more source

Stochastic Entropy Production: Fluctuation Relation and Irreversibility Mitigation in Non-unital Quantum Dynamics. [PDF]

J Stat Phys, 2023
In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital quantum maps. In particular, as in [Phys. Rev.
Fiorelli E, Gherardini S, Marcantoni S.
europepmc   +2 more sources

Higher *-derivations between unital C*-algebras [PDF]

Surveys in Mathematics and its Applications, 2010
Let A, B be two unital C*-algebras. We prove that every sequence of mappings from A into B, H = {h0,h1, ..., hm, ...}, which satisfy hm(3nuy) =Σi+j=mhi(3nu)hj(y) for each m ∈ N0, for all u∈U(A), all y∈ A, and all n = 0, 1, 2, ..., is a higher derivation.
S. A. R. Hosseinioun, M. Eshaghi Gordji, R. Farokhzad Rostami   +2 more
doaj   +2 more sources

Non-unital Ore extensions

, 2023
We study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings R[x; delta], under the hy-pothesis that R is s-unital and ker(delta) contains a non-zero idempotent.
Patrik Lundström, Johan Öinert, Johan Richter, Öinert, Johan,, Richter, Johan,, Lundstrom, Patrik,   +5 more
core   +1 more source

Generalized Jordan N-Derivations of Unital Algebras with Idempotents

Journal of Mathematics, 2021
Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
doaj   +1 more source

Gleason–Kahane–Żelazko Theorem for Bilinear Maps

Annales Mathematicae Silesianae, 2022
Let A and B be two unital Banach algebras and 𝔘 = A × B. We prove that the bilinear mapping φ: 𝔘 → ℂ is a bi-Jordan homomorphism if and only if φ is unital, invertibility preserving and jointly continuous.
Zivari-Kazempour Abbas
doaj   +1 more source

Homotopy theory of unital algebras [PDF]

, 2019
We provide an extensive study of the homotopy theory of types of algebras with units, for instance unital associative algebras or unital commutative algebras.
Le Grignou, Brice
core   +2 more sources