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Decomposable Variation
This chapter presents a basic typology for variation: holistic (transformation affects the referential UDS as a whole) or decomposable (abstracted...
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On Partly and Nearly Decomposable Tensors
In this paper, we extend the theory of non-negative tensors. We present a condition that ensures the existence of at least k zero entries on every...
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Decomposable Statistics Generated by Multidimensional Pólya Distribution
Exact and asymptotic formulas for the mathematical expectation and variance for decomposable statistics generated by multidimensional Pólya random...
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Counting decomposable polynomials with integer coefficients
A polynomial over a ring is called decomposable if it is a composition of two nonlinear polynomials. In this paper, we obtain sharp lower and upper...
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Locally Optimal Eigenpairs of Orthogonally Decomposable Tensors: A Generalized Proof
Orthogonally decomposable (odeco) tensors is a special class of symmetric tensors. Previous works have focused on investigating its E-eigenpairs...
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Fully Inert Subgroups of Completely Decomposable Groups with Homogeneous Components of Finite Rank
AbstractFor the given class of completely decomposable torsion-free groups, which includes all completely decomposable groups with a finite number of...
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On Rectangle-Decomposable 2-Parameter Persistence Modules
This paper addresses two questions: (a) can we identify a sensible class of 2-parameter persistence modules on which the rank invariant is complete?...
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Decomposable Specht Modules Indexed by Bihooks II
Previously, the last two authors found large families of decomposable Specht modules labelled by bihooks, over the Iwahori–Hecke algebra of type B ....
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On Wild Algebras and Super-Decomposable Pure-Injective Modules
Assume that k is an algebraically closed field and A is a finite-dimensional wild k -algebra. Recently, L. Gregory and M. Prest proved that in this...
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Set recognition of decomposable graphs and steps towards their reconstruction
It is proved that decomposable graphs are set recognizable and that the index graph of the canonical decomposition as well as the graphs induced on...
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Decomposable Five-Dimensional Lie Algebras in the Problem on Holomorphic Homogeneity in ℂ3
In connection with the problem of describing holomorphically homogeneous real hypersurfaces in the space ℂ 3 , we study five-dimensional real Lie...
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Diameter of Io-Decomposable Riordan Graphs of the Bell Type
Recently, in the paper (Cheon et al. in Linear Algebra Appl 579:89–135, 2019) we suggested the two conjectures about the diameter of io-decomposable...
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Congruence Pairs of Decomposable MS-Algebras
In this paper, the authors first introduce the concept of congruence pairs on the class of decomposable MS-algebras generalizing that for principal...
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On foliations of the real projective plane defined by decomposable pencils of cubics
We view pencils of real cubics as foliations of the real projective plane. We single out decomposable pencils , which are particularly simple, yet...
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Non-simple polarised abelian surfaces and genus 3 curves with completely decomposable Jacobians
We study the space of non-simple polarised abelian surfaces. Specifically, we describe for which pairs ( m , n ) the locus of polarised abelian surfaces...
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On the Topology of Planar Real Decomposable Curves of Degree 8
We consider the problem of topological classification of arrangements in the real projective plane of the union of nonsingular curves of degrees 2...
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Sufficient Conditions for Extended Spectral Decomposable Multi-Valued linear operators
In this paper, we develop the notion of spectral decomposability of a multi-valued linear operator (linear relation) in Banach spaces using subsets...
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Definability of Completely Decomposable Torsion-Free Abelian Groups by Semigroups of Endomorphisms and Groups of Homomorphisms
Let C be an Abelian group. A class X of Abelian groups is called a C E • H -class if for any groups A, B ∈ X , it follows from the existence of...