Abstract
The well known method of using ultrafilters on an index set to identify all minimal prime subgroups of a cardinal product of o-groups is generalized to a method of using prime ideal filters on the special values of a special-valued l-group to identify prime subgroups. Among those that can be identified this way are all minimal prime subgroups, all closed prime subgroups, and all branch prime subgroups. The method is then used to give necessary and sufficient conditions for a value to be such a prime subgroup.
To Paul Conrad, in honor of his 80th birthday.
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Darnel, M.R. (2002). Reconstructing C(G) from a Plenary Subset. In: MartÃnez, J. (eds) Ordered Algebraic Structures. Developments in Mathematics, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3627-4_11
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DOI: https://doi.org/10.1007/978-1-4757-3627-4_11
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