A lattice-theoretic characterization of pure subgroups of Abelian groups
Sign Up to like & getrecommendations! Published in 2021 at "Ricerche Di Matematica"
DOI: 10.1007/s11587-021-00580-6
Abstract: Let G be an abelian group. The aim of this short paper is to describe a way to identify pure subgroups H of G by looking only at how the subgroup lattice $$\mathcal {L}(H)$$ embeds in… read more here.
Keywords: subgroups abelian; characterization pure; lattice theoretic; theoretic characterization ... See more keywords
Lattice theoretic properties of approximating ideals
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DOI: 10.1016/j.jpaa.2021.106986
Abstract: It is proved that a finite intersection of special preenveloping ideals in an exact category $({\mathcal A}; {\mathcal E})$ is a special preenveloping ideal. Dually, a finite intersection of special precovering ideals is a special… read more here.
Keywords: theoretic properties; special preenveloping; lattice theoretic; properties approximating ... See more keywords
Exact Computation of Maximal Invariant Sets for Safe Markov Chains—Lattice Theoretic Approach
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DOI: 10.1109/tac.2022.3211959
Abstract: Set theoretic analysis plays a crucial part in understanding safety requirements for control systems. We apply the lattice theoretic insights of fixed point theorems to construct the maximal invariant set and verify safety constraint satisfaction.… read more here.
Keywords: maximal invariant; safety; lattice theoretic; invariant set ... See more keywords