Results 1 to 10 of about 4,830 (146)
On Endomorphisms of the Additive Monoid of Subnets of a Two-layer Neural Network
Известия Иркутского государственного университета: Серия "Математика", 2022 Previously, for each multilayer neural network of direct signal propagation (hereinafter, simply a neural network), finite commutative groupoids were introduced, which were called additive subnet groupoids.
Andrey Litavrin
doaj +2 more sources
Tri-Endomorphisms on BCH-Algebras
International Journal of Analysis and Applications, 2023 In this paper, we use the concept of endomorphisms and bi-endomorphisms as a model to create tri-endomorphisms on of BCH-algebras. We introduce the concepts of left tri-endomorphisms, central tri-endomorphisms, right tri-endomorphisms, and complete tri ...
Patchara Muangkarn +3 more
doaj +1 more source
Endomorphisms and anti-endomorphisms of some finite groupoids
Журнал Средневолжского математического общества, 2022 In this paper, we study anti-endomorphisms of some finite groupoids. Previously, special groupoids $S(k, q)$ of order $k(1+k)$ with a generating set of $k$ elements were introduced.
Litavrin Andrey V.
doaj +1 more source
Endomorphisms of the Toeplitz algebra
Учёные записки Казанского университета: Серия Физико-математические науки, 2023 This article describes all injective endomorphisms of the classical Toeplitz algebra. Their connection with endomorphisms of the algebra of continuous functions on the unit circle and with coverings over the unit circle was considered.
S. A. Grigoryan, A. Yu. Kuznetsova
doaj +1 more source
Endomorphism Spectra of Double-Edge Fan Graphs
Mathematics, 2023 There are six classes of endomorphisms for a graph. The sets of these endomorphisms form a chain under the inclusion of sets. In order to systematically study these endomorphisms, Böttcher and Knauer defined the concepts of the endomorphism spectrum and ...
Kaidi Xu, Hailong Hou, Yu Li
doaj +1 more source
On Anti-endomorphisms of Groupoids
Известия Иркутского государственного университета: Серия "Математика", 2023 In this paper, we study the problem of element-by-element description of the set of all anti-endomorphisms of an arbitrary groupoid. In particular, the structure of the set of all anti-automorphisms of a groupoid is studied. It turned out that the set of
A.V. Litavrin
doaj +1 more source
Endomorphism Type of P(3m + 1,3)
Mathematics, 2023 There are six different classes of endomorphisms for a graph. The sets of these endomorphisms always form a chain under the inclusion of sets. In order to study these different endomorphisms more systematically, Böttcher and Knauer proposed the concept ...
Rui Gu, Hailong Hou
doaj +1 more source
Algebraic entropy of endomorphisms of M-sets
Topological Algebra and its Applications, 2021 The usual notion of algebraic entropy associates to every group (monoid) endomorphism a value estimating the chaos created by the self-map. In this paper, we study the extension of this notion to arbitrary sets endowed with monoid actions, providing ...
Zava Nicolò
doaj +1 more source
Endomorphism Spectra of Double Fan Graphs
Mathematics, 2020 There are six different classes of endomorphisms for a graph. The sets of these endomorphisms always form a chain under the inclusion of sets. For a more systematic treatment of different endomorphisms, Böttcher and Knauer proposed the concepts of the ...
Mengdi Tong, Hailong Hou
doaj +1 more source
The Baer–Kaplansky Theorem for all abelian groups and modules
Bulletin of Mathematical Sciences, 2022 It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
doaj +1 more source