Results 31 to 40 of about 3,245 (221)

Idempotents in nest algebras [PDF]

, 1991
The algebraic equivalence and similarity classes of idempotents within a nest algebra Alg β are completely characterized. We obtain necessary and sufficient conditions for two idempotents to be equivalent or similar.
Pitts, David R, Larson, David R
core   +1 more source

A Note on Commutative Nil-Clean Corners in Unital Rings

Известия Иркутского государственного университета: Серия "Математика", 2019
We shall prove that if $R$ is a ring with a family of orthogonal idempotents $\{e_i\}_{i=1}^n$ having sum $1$ such that each corner subring $e_iRe_i$ is commutative nil-clean, then $R$ is too nil-clean, by showing that this assertion is actually ...
P.V. Danchev
doaj   +1 more source

(ℓ,p)-Jones-Wenzl idempotents [PDF]

, 2022
The Jones-Wenzl idempotents of the Temperley-Lieb algebra are celebrated elements defined over characteristic zero and for generic loop parameter. Given a pointed field ( R , δ ) , we extend the existing results of Burrull, Libedinsky and Sentinelli to ...

core   +2 more sources

Singular matrices that are products of two idempotents or products of two nilpotents

Special Matrices, 2021
Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.
Călugăreanu Grigore
doaj   +1 more source

Centrality and Partition of Idempotents [PDF]

, 2023
We show that an idempotent lies in the center if it commutes with the other idempotents in the ring. Next, we introduce a partition of the set of idempotents and show that the automorphisms of the ring act transitively on each equivalence class.Comment ...
Chintala, Vineeth
core   +1 more source

A method for constructing idempotents in a unital algebra

Учёные записки Казанского университета: Серия Физико-математические науки
A method is proposed for constructing idempotents in a unital algebra 𝒜 using n arbitrary idempotents P1,...,Pn from this algebra. The properties of the resulting idempotents P = P(P1,...,Pn) are investigated; for n = 2 and n = 3, explicit forms of the ...
M. Khadour
doaj   +1 more source

Semigroups with inverse skeletons and Zappa-Sz'{e}p products [PDF]

Categories and General Algebraic Structures with Applications, 2013
The aim of this paper is to study semigroups possessing $E$-regular elements, where an element $a$ of a semigroup $S$ is {em $E$-regular} if $a$ has an inverse $a^circ$ such that $aa^circ,a^circ a$ lie in $ Esubseteq E(S)$. Where $S$ possesses `enough'
Victoria Gould, Rida-e- Zenab
doaj  

Idempotent 2x2 matrices over linearly ordered abelian groups [PDF]

Categories and General Algebraic Structures with Applications
In this paper we study multiplicative semigroups of $2\times 2$ matrices over a linearly ordered abelian group with an externally added bottom element. The multiplication of such a semigroup is defined by replacing addition and multiplication by join and
Valdis Laan, Marilyn Kutti
doaj   +1 more source

Generalizations of the Dirichlet Problem for Bianalytic Functions

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
wiley   +1 more source

An Idempotent-Based Generalization of Semicommutative Rings

Mathematics
We introduce and study several new classes of rings defined by idempotent conditions. A ring R is called i-semicommutative if (1−ab)aRb(1−ab)=0 whenever ab is a nonzero idempotent. This property lies strictly between semicommutativity and i-reversibility
Muhammad Saad, Majed Zailaee
doaj   +1 more source