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Titlebook: Ordered Algebraic Structures; Proceedings of the C Jorge Martinez Conference proceedings 1989 Kluwer Academic Publishers 1989 Abelian group

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Applications of Spaces with Filters to Archimedean ℓ-Groups with Weak Unittaking the unit to the constant function 1, but the only one with G separating the points of X. It has the further pleasure of being contravariantly functorial from . to compact Hausdorff spaces. We label this as G→ Ĝ ⊆ D(YG), and the functor as . →. Comp. (The situation is described more fully in the next section.)
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On Some Classes of Lattice-Ordered Algebrasgebra is commutative. Furthermore, a description is given of the nilpotents in both an Archimedean .-algebra and an Archimedean almost .-algebra. In both cases every nilpotent . satisfies .. = 0 and . = 0 for all ., ..
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978-94-010-7615-9Kluwer Academic Publishers 1989
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Primary ,-ideals in a class of ,-ringsime (prime) if {0} is a semiprime (prime) .-ideal. The .-ideal . is . if . = 0 implies . ∈ . or . ∈ .. In a semiprime .-ring, a pseudoprime .-ideal contains a prime .-ideal as shown in [10, 2.1]. An ideal . of a commutative .-ring is . if . ∈ ., . ∉ . implies .. ∈ . for some .. We let .: . denote { . }.
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Universal Aspects of the Theory of Lattice Ordered Groupsese properties are studied within specific classes to determine the qualities that are special to the particular classes. These qualities serve as a means of comparing the algebraic structures of the different classes.
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Rings of Continuous Functions from an Algebraic Point of Viewd say to an audience containing people thoroughly familiar with the Gillman-Jerison text [GJ1] and many of the ensuing developments since 1960 — a lot of them due to mathematicians to whom I would be talking. I began to wonder if I would be doing the equivalent of carrying coals to Curaçao in August.
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