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Group Homomorphism and Isomorphism
We introduce the notion of homomorphism of groups as a map between two groups which respects the group structure so that we may establish...
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The Dixmier–Douady class, the action homomorphism, and group cocycles on the symplectomorphism group
Let X be a one-connected and integral symplectic manifold. In this paper, we construct and study a two-cocycle and three-cocycle on the...
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On the de Rham Homomorphism for Lπ-Cohomologies
We study the procedure of regularization in the context of the Lipschitz version of de Rham calculus on metric simplicial complexes with bounded...
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On Vanishing of the Homomorphism Group of Abelian Groups
Some necessary and sufficient conditions for vanishing of the homomorphism group of Abelian groups are established.
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The complexity of homomorphism factorization
We investigate the computational complexity of the problem of deciding if an algebra homomorphism can be factored through an intermediate algebra....
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The Algebraic Small Dimension Lemma with an Anti-Homomorphism on Semigroups
The present paper extends Stetkær’s Algebraic Small Dimension Lemma on semigroups (Stetkær in Aequat Math, 2020) by replacing its involution by an...
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Structural Properties of Homomorphism Dilation Systems
Inspired by some recent development on the theory about projection valued dilations for operator valued measures or more generally bounded...
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On the Homomorphism Order of Oriented Paths and Trees
A partial order is universal if it contains every countable partial order as a suborder. In 2017, Fiala, Hubička, Long and Nešetřil showed that every...
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Homomorphism Thresholds for Odd Cycles
The interplay of minimum degree conditions and structural properties of large graphs with forbidden subgraphs is a central topic in extremal graph...
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Hyperstability of Orthogonally 3-Lie Homomorphism: An Orthogonally Fixed Point Approach
In this chapter, by using the orthogonally fixed point method, we prove the Hyers–Ulam stability and the hyperstability of orthogonally 3-Lie...
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Application of the Homomorphism Theorem for Rings to Linearization of Systems of Partial Differential Equations
We propose an algorithm for linearizing systems of partial differential equations at constant solutions. The algorithm is based on an isomorphism...