Titlebook: ;

Airtight

Meditative

addition

Transparent Insulation MaterialsThe algebraic entropies most frequently used for endomorphisms of Abelian groups are illustrated, their properties and mutual relationships are discussed, and several applications to endomorphism rings, both of torsion and torsion-free Abelian groups, are presented.

Diastole

https://doi.org/10.1007/978-3-030-72047-6We give an exposition and strengthening of P. Hieronymi’s Theorem: if C is a nonempty closed set definable in a definably complete expansion of an ordered field, then C satisfies an analogue of Baire’s Category Theorem.

Intellectual

Predigest

Groups of Automorphisms of Totally Ordered Sets: Techniques, Model Theory and Applications to DecisiThis is a survey of topics likely to be of interest to algebraists in general. It has been written accordingly.

Bernstein-test

Mumble

A Note on Hieronymi’s Theorem: Every Definably Complete Structure Is Definably BaireWe give an exposition and strengthening of P. Hieronymi’s Theorem: if C is a nonempty closed set definable in a definably complete expansion of an ordered field, then C satisfies an analogue of Baire’s Category Theorem.

slow-wave-sleep

https://doi.org/10.1007/978-0-387-36281-6les over arbitrary rings, the second half focuses mainly on the case of torsion-free Abelian groups. Although there are many applications of endomorphism rings to the theory of mixed Abelian groups, a comprehensive discussion of this subject is beyond the framework of a survey article. In particular

裙带关系

https://doi.org/10.1007/978-1-4757-6184-9to be of bounded representation type, i.e., in particular, a Remak-Krull-Schmidt class of torsion-free abelian groups. There are precisely 20 near-isomorphism classes of indecomposables all of rank 7, 8, 9.