Results 71 to 80 of about 43,216 (196)

Left Zeroid and Right Zeroid Elements of Γ-Semirings

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper we introduce the notion of a left zeroid and a right zeroid of Γ -semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ -semiring.
Rao M. Murali Krishna, Kumar K.R.
doaj   +1 more source

Idempotents in Matrix Rings [PDF]

Proceedings of the American Mathematical Society, 1994
Let R be a commutative, von Neumann regular ring and M n ( R ) {M_n}(R) the ring of n × n n \times n matrices over R. What are the idempotents in M n (
Barnett, Christopher, Camillo, Victor
openaire   +1 more source

A classification of Prüfer domains of integer‐valued polynomials on algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let D$D$ be an integrally closed domain with quotient field K$K$ and A$A$ a torsion‐free D$D$‐algebra that is finitely generated as a D$D$‐module and such that A∩K=D$A\cap K=D$. We give a complete classification of those D$D$ and A$A$ for which the ring IntK(A)={f∈K[X]∣f(A)⊆A}$\textnormal {Int}_K(A)=\lbrace f\in K[X] \mid f(A)\subseteq A ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

Strongly Invo. T- Clean Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
In this paper, we present the idea of a strongly invo. T-clean rings, which we define as rings with every a in R having the formula a = t + v, where t is a tripotent and v is an order two unit that commute.
Rand Alneamy, Nazar Shuker
doaj   +1 more source

The ∞$\infty$‐categorical reflection theorem and applications

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley   +1 more source

Decomposition of Idempotent Operators on Hilbert C*-Modules

Mathematics
This study advances the application of the generalized Halmos’ two projections theorem to idempotent operators on Hilbert C*-modules through a comprehensive study of sums involving adjointable idempotents and their adjoints.
Wei Luo
doaj   +1 more source

On Strongly SITN Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
An element is considered as a strongly SITN, if it is the sum of idempotent, tripotent and a nilpotent, that commute with one another. A ring R is referred to be SITN ring if each member of R is a strongly SITN.
Rafal Dhanoon, Nazar Shuker
doaj   +1 more source

Products of Idempotent Operators

Integral Equations and Operator Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arias, Maria Laura, Corach, Gustavo, Maestripieri, Alejandra Laura   +2 more
openaire   +2 more sources

On the Q‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure

Journal of Combinatorial Designs, Volume 34, Issue 2, Page 69-86, February 2026.
ABSTRACT Let Γ denote a finite, connected graph with vertex set X. Fix x ∈ X and let ε ≥ 3 denote the eccentricity of x. For mutually distinct scalars { θ i * } i = 0 ε define a diagonal matrix A * = A * ( θ 0 * , θ 1 * , … , θ ε * ) ∈ Mat X ( R ) as follows: for y ∈ X we let ( A * ) y y = θ ∂ ( x , y ) *, where ∂ denotes the shortest path length ...
Blas Fernández, Roghayeh Maleki, Štefko Miklavič, Giusy Monzillo   +3 more
wiley   +1 more source

An idempotent not conjugate with its complementary idempotent

Annals of the Alexandru Ioan Cuza University - Mathematics
Summary: In \(\mathbb{M}_2(\mathbb{Z}[i\sqrt{5}])\), we show that the idempotent \(\begin{bmatrix} 3&\alpha\\-\overline{\alpha}&-2\end{bmatrix}\) with \(\alpha=1+i\sqrt{5}\) is not similar to its complementary idempotent.
Călugăreanu, Grigore, Pop, Horia F.
openaire   +1 more source