The Krull-Schmidt Theorem Holds for Finite Direct Products of Biuniform Groups
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DOI: 10.1007/s10468-017-9715-y
Abstract: We prove that the Krull-Schmidt Theorem holds for finite direct products of biuniform groups, that is, groups G whose lattice of normal subgroups ????(G)$\mathcal {N}(G)$ has Goldie dimension and dual Goldie dimension 1. More generally,… read more here.
Keywords: holds finite; theorem holds; finite direct; krull schmidt ... See more keywords
Attractors of Direct Products
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DOI: 10.1007/s12346-021-00510-9
Abstract: For Milnor, statistical, and minimal attractors, we construct examples of smooth flows $\varphi$ on $S^2$ for which the attractor of the Cartesian square of $\varphi$ is smaller than the Cartesian square of the attractor of… read more here.
Keywords: direct products; square; attractors direct;
Ideals of direct products of rings
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DOI: 10.1142/s1793557118500948
Abstract: It is known that an ideal of a direct product of commutative unitary rings is directly decomposable into ideals of the corresponding factors. We show that this does not hold in general for commutative rings… read more here.
Keywords: ideals direct; products rings; direct products;