𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A cofinal coloring theorem for partially ordered algebras

✍ Scribed by George M. Bergman; Irving Kaplansky


Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
286 KB
Volume
1
Category
Article
ISSN
0167-8094

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


True cofinality and bounding number for
✍ Stefan Neumann πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 194 KB

We replace Shelah's notion of true coΓΏnality by the notion of the bounding number for an arbitrary partial order and begin to develop a theory similar to Shelah's pcf theory, which gives many analog results, including the existence of the so-called generators, for the more general case of products o

A Birkhoff theorem for partial algebras
✍ Hans-JΓΌrgen Hoehnke πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 616 KB

An equational theory (a 'Birkhoff theorem') for functorial partial algebras is established via the corresponding theory for functorial total algebras.

Galois Connections for Incidence Hopf Al
✍ Marcelo Aguiar; Walter Ferrer Santos πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 277 KB

An important well-known result of Rota describes the relationship between the Mo bius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of the corresponding incidence Hopf algebras, from which the classical formula can be deduced. To motiva