Results 61 to 70 of about 3,750 (203)

Hyers-Ulam-Rassias stability of generalized derivations

International Journal of Mathematics and Mathematical Sciences, 2006
The generalized Hyers-Ulam-Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.
Mohammad Sal Moslehian
doaj   +1 more source

Ideal Dasar Prima Dalam Aljabar Atas Suatu Ring Komutatif

Jurnal Fourier, 2018
Definisi ideal dasar dan ideal bebas dalam aljabar bebas atas ring komutatif dengan elemen satuan adalah ekuivalen. Namun, ideal dasar dalam suatu aljabar tak bebas belum tentu merupakan ideal bebas, sementara ideal bebas pasti ideal dasar.
Khurul Wardati
doaj   +1 more source

Quasi-unital $\infty$-Categories

, 2015
International audienceInspired by Lurie's theory of quasi-unital algebras we prove an analogous result for $\infty$-categories. In particular, we show that the unital structure of an $\infty$-category can be uniquely recovered from the underlying non ...
Harpaz, Yonatan
core  

Homotopy unital A∞-algebras

, 2011
It is well known that the differential graded operad of A∞-algebras is a cofibrant replacement (a dg-resolution) of the operad of associative differential graded algebras without units.
Lyubashenko, Volodymyr
core   +1 more source

Stability of a 2-Dimensional Functional Equation in a Class of Vector Variable Functions

Journal of Inequalities and Applications, 2010
We prove the Hyers-Ulam stability of a 2-dimensional quadratic functional equation in a class of vector variable functions in Banach modules over a unital C⋆-algebra.
Won-Gil Park, Jae-Hyeong Bae
doaj   +1 more source

On the Commutative Rings with At Most Two Proper Subrings

International Journal of Mathematics and Mathematical Sciences, 2016
The commutative rings with exactly two proper (unital) subrings are characterized. An initial step involves the description of the commutative rings having only one proper subring.
David E. Dobbs
doaj   +1 more source

Jordan derivations of unital algebras with idempotents

, 2012
We consider Jordan derivations of a unital algebra A having a nontrivial idempotent. It turns out that on unital algebras there exist Jordan derivations that are not derivations.
Benkovič, Dominik, Širovnik, Nejc
core   +1 more source

CHEBYSHEV SUBALGEBRAS OF JB-ALGEBRAS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1998
In this note, we characterize Chebyshev subalgebras of unital JB-algebras. We exhibit that if B is Chebyshev subalgebra of a unital JB-algebra A, then either B is a trivial subalgebra of A or A= H R .l, where H is a Hilbert ...
doaj  

Nonlinear Mixed Left Bi-Skew Jordan and Right Jordan-Type Derivations on ∗-Algebra

Mathematics
Consider a unital ∗-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive ∗-derivation under certain conditions ...
Amal S. Alali, Md Arshad Madni
doaj   +1 more source

On the eternal non-Markovianity of non-unital quantum channels

, 2023
The eternally non-Markovian Pauli channel is an example of a unital channel characterized by a negative decay rate for all time $t>0$. Here we consider the problem of constructing an analogous non-unital channel, and show in particular that a $d ...
Banerjee, Subhashish, Srikanth, R., Utagi, Shrikant   +2 more
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