Results 41 to 50 of about 7,471 (180)

On the Open Problem Related to Rank Equalities for the Sum of Finitely Many Idempotent Matrices and Its Applications

open access: yesThe Scientific World Journal, 2014
Tian and Styan have shown many rank equalities for the sum of two and three idempotent matrices and pointed out that rank equalities for the sum P1+⋯+Pk with P1,…,Pk be idempotent (k>3) are still open.
Mei-xiang Chen   +3 more
doaj   +1 more source

Geometrical properties of the space of idempotent probability measures

open access: yesApplied General Topology, 2021
Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
doaj   +1 more source

Small idempotent clones I [PDF]

open access: yes, 1984
summary:G. Grätzer and A. Kisielewicz devoted one section of their survey paper concerning $p_n$-sequences and free spectra of algebras to the topic “Small idempotent clones” (see Section 6 of [18]). Many authors, e.g., [8], [14, 15], [22], [25] and [29,
Dudek, Józef, Józef Dudek, J. Dudek
core   +1 more source

The Reduction Theorem for Leavitt Path Algebras of Labeled Graphs and Its Applications

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We introduce a notion of labeled cycle for normal labeled spaces and prove a reduction theorem for Leavitt path algebras associated with labeled graphs. We show that every nonzero element can be reduced, by suitable left and right multiplication, either to a nonzero scalar multiple of a projection or to a polynomial supported on a labeled ...
Daniel Gonçalves   +2 more
wiley   +1 more source

Unification of idempotent functions

open access: yes, 1978
A complete algorithm for terms involving idempotent an idempotent-commutative functions is presented. The main results are: The unification problem for both cases is decidable and the set of unifiers is finite for both ...
Siekmann, Jörg, Raulefs, Peter
core   +1 more source

Generalizations of the Dirichlet Problem for Bianalytic Functions

open access: yesMathematical 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

The Structure of Semiconic Idempotent Commutative Residuated Lattices

open access: yesMathematics
In this paper, we study semiconic idempotent commutative residuated lattices. After giving some properties of such residuated lattices, we obtain a structure theorem for semiconic idempotent commutative residuated lattices. As an application, we make use
Wei Chen
doaj   +1 more source

Pentagonal quasigroups, their translatability and parastrophes

open access: yesOpen Mathematics, 2021
Any pentagonal quasigroup QQ is proved to have the product xy=φ(x)+y−φ(y)xy=\varphi \left(x)+y-\varphi (y), where (Q,+)\left(Q,+) is an Abelian group, φ\varphi is its regular automorphism satisfying φ4−φ3+φ2−φ+ε=0{\varphi }^{4}-{\varphi }^{3}+{\varphi }^
Dudek Wieslaw A., Monzo Robert A. R.
doaj   +1 more source

Chimera state in coupled map lattice of matrices

open access: yesLietuvos Matematikos Rinkinys, 2021
In recent years, a lot of research has focused on understanding the behavior of when synchronous and asynchronous phases occur, that is, the existence of chimera states in various networks.
Kotryna Mačernytė, Rasa Šmidtaitė
doaj   +1 more source

Fixing Ill‐Formed UTF‐16 Strings With SIMD Instructions

open access: yesSoftware: Practice and Experience, EarlyView.
ABSTRACT Background We must fix ill‐formed UTF‐16 strings, where surrogate pairs are mismatched. Programming languages such as JavaScript provide functions that replace mismatched surrogates with the Unicode replacement character (U + FFFD). Objectives We seek to accelerate the correction of ill‐formed UTF‐16 strings.
Robert Clausecker, Daniel Lemire
wiley   +1 more source

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