منابع مشابه
(Compression Bases in Unital Groups
We introduce and launch a study of compression bases in unital groups. The family of all compressions on a compressible group and the family of all direct compressions on a unital group are examples of compression bases. In this article we show that the properties of the compatibility relation in a compressible group generalize to unital groups with compression bases. AMS Classification: Primar...
متن کاملSemisimplicial Unital Groups
If there is an order-preserving group isomorphism from a directed abelian group G with a finitely generated positive cone G+ onto a simplicial group, then G is called a semisimplicial group. By factoring out the torsion subgroup of a unital group having a finite unit interval, one obtains a semisimplicial unital group. We exhibit a representation for the base-normed space associated with a semi...
متن کاملClean Unital -groups
A ring with identity is said to be clean if every element can be written as a sum of a unit and an idempotent. The study of clean rings has been at the forefront of ring theory over the past decade. The theory of partially-ordered groups has a nice and long history and since there are several ways of relating a ring to a (unital) partially-ordered group it became apparent that there ought to be...
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(Day 1): References (for general background) →Varieties of lattice-ordered groups, N. R. Reilly, in Lattice-Ordered Groups, Advances and Techniques, A. M. W. Glass and W. C. Holland (eds.), Kluwer Academic Publishers, 1989. Lattice-Ordered Groups, an Introduction, M. Anderson and T. Feil, D. Reidel Pub. Co., 1988. Theory of Lattice-Ordered Groups, M. Darnel, Marcel Dekker, 1995. Partially Order...
متن کاملArchimedean Unital Groups with Finite Unit Intervals
Let G be a unital group with a finite unit interval E, let n be the number of atoms in E, and let κ be the number of extreme points of the state spaceΩ(G). We introduce canonical order-preserving group homomorphisms ξ : Zn → G and ρ : G → Zκ linking G with the simplicial groups Zn and Zκ . We show that ξ is a surjection and ρ is an injection if and only if G is torsion-free. We give an explicit...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2005
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-005-8014-2