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Conrad, Paul
- Archimedean Extensions of Lattice-Ordered Groups
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1 Tulane University, IN
1 Tulane University, IN
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The Journal of the Indian Mathematical Society, Vol 30, No 3 (1966), Pagination: 131-160Abstract
Let G be a lattice-ordered group ("l-group") and let C be a subgroup of G. C is an l-subgroup of G provided that it is a sublattice, and C is convex if 0 < g < cā C and g ā G imply that g ā C.
- Methods of Ordering a Vector Space
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1 University of Ceylon, LK
1 University of Ceylon, LK
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The Journal of the Indian Mathematical Society, Vol 22, No 1 (1958), Pagination: 1-25Abstract
In this paper order will always mean linear order. D will always denote a division ring with elements 0,1,a,b,c,..., and the field of real numbers will be indicated by R.- On Ordered Vector Spaces
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1 University of Ceylon, LK
1 University of Ceylon, LK
Source
The Journal of the Indian Mathematical Society, Vol 22, No 1 (1958), Pagination: 27-32Abstract
In this note all possible methods of ordering a (left) vector space A of dimension 2 over a division ring D are classified. The results and notation developed in [1] will be used throughout.- The Groups of Word Preserving Permutations of a Group
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1 Tulane University, Louisiana, US
1 Tulane University, Louisiana, US
Source
The Journal of the Indian Mathematical Society, Vol 22, No 4 (1958), Pagination: 149-179Abstract
Throughout this paper let G be a group and let F be a free group of countable rank with a set I of independent generators.- Generalized Semigroup Rings
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1 University of Ceylon, LK
1 University of Ceylon, LK