Results 91 to 100 of about 3,245 (221)

On idempotent convexities and idempotent barycenter maps

Topology and its Applications
We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate topological properties of the barycenter map related to the maximum and the multiplication operations.
Dawid Krasiński, Taras Radul
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Lifting to non-integral idempotents [PDF]

, 2001
In the first section of this paper, we illustrate (for a finite group G and the field of fractions K of a suitable complete dvr R) how to produce all central idempotents of Z(KG) from knowledge of the images of Z(RG) modulo certain powers of J(R). In the
Robinson, Geoffrey R., Robinson, Geoffrey, Geoffrey R. Robinson   +2 more
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On commutators of idempotents

Linear and Multilinear Algebra
Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end{matrix} \right)$, where $I_i$ is the identity operator on the closed subspace $X_i$ ($i=1, 2$).
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Idempotents in Cyclic Codes

, 2012
Cyclic codes give us the most probable method by which we may detect and correct data transmission errors. These codes depend on the development of advanced mathematical concepts.
NC DOCKS at East Carolina University, Brame, Benjamin   +1 more
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Unbounded nilpotents and idempotents [PDF]

, 1988
This paper is concerned with unbounded operators in Hilbert space with domain containing their range and, in particular, investigates unbounded nilpotents and ...
Schôichi, Ôta
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An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra

Математичні Студії
We prove that a locally bounded and differentiable in the sense of Gâteaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differentiable in the sense of Lorc and it is a monogenic function.
S. A. Plaksa, V. S. Shpakivskyi, M. V. Tkachuk   +2 more
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Decomposition of finitely generated projective modules over Bezout ring [PDF]

Математичні Студії, 2013
It is shown that a commutative Bezout ring $R$ of stable range 2 isan elementary divisor ring if and only if for each ideal $I$ everyfinitely generated projective $R/I$-module is a direct sum ofprincipal ideals generated by idempotents.
B. V. Zabavsky, S. І. Bilavska
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Semi-Idempotents in Neutrosophic Rings

Mathematics, 2019
In complex rings or complex fields, the notion of imaginary element i with i 2 = − 1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I 2 = I is included.
Vasantha Kandasamy W.B., Ilanthenral Kandasamy, Florentin Smarandache   +2 more
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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.
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Corpidi e loro proprietà

Le Matematiche, 2009
A corpid is a ring (K, +, ·), different from zero, such that (K, ·) is an inverse semigroup. We prove a characterization of corpids, some remarkable results about the lattice of the idempotents and other results concerning the idempotents and the zero ...
Maria Scafati Tallini, Maurizio Iurlo
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