Titlebook: Advances in Algebra; SRAC 2017, Mobile, A Jörg Feldvoss,Lauren Grimley,Cornelius Pillen Conference proceedings 2019 Springer Nature Switzer

Servile

https://doi.org/10.1007/978-3-319-16802-9normal matrices . and . with eigenvalues . and ., respectively, the set . is in the convex hull of the set .. We review the origin and the motivations of this conjecture from M. Fiedler’s work in the Hermitian case to Marcus and de Oliveira’s independent questions. Then, we survey the major positive

Mindfulness

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Said Hilton,Claudia Roth,Peter Arne Gerber detail the case where ./. is Galois with dihedral group ., . prime and give explicit descriptions of the Hopf algebras which act on ./.. We also determine when two such Hopf algebras are isomorphic, either as Hopf algebras or as algebras. For the case . and a chosen ./., we give the Wedderburn–Arti

GULF

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CHART

Michael B. Chancellor,Christopher P. SmithThis paper introduces the notions of .-faithfulness and quasi-flatness. They are used to discuss non-singularity and Hattori-torsion-freeness in the context of endomorphism rings. Several additional examples are given.

offense

Michael B. Chancellor,Christopher P. SmithWe survey recent studies on the Castelnuovo–Mumford regularity of edge ideals of graphs and their powers. Our focus is on bounds and exact values of . and the asymptotic linear function ., for ., in terms of combinatorial data of the given graph ..