Any \(DRl\)-semigroup is the direct product of a commutative \(l\)-group and a \(DRl\)-semigroup with the least element (Q2785645)
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scientific article; zbMATH DE number 981789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Any \(DRl\)-semigroup is the direct product of a commutative \(l\)-group and a \(DRl\)-semigroup with the least element |
scientific article; zbMATH DE number 981789 |
Statements
27 April 1997
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positive and negative part of elements
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DRl-semigroup
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representation theorem
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absolute value of elements
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Any \(DRl\)-semigroup is the direct product of a commutative \(l\)-group and a \(DRl\)-semigroup with the least element (English)
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\textit{K. L. N. Swamy} introduced the concept of a DRl-semigroup [Math. Ann. 159, 105-114 (1965; Zbl 0135.04203)]. Here, a representation theorem for these structures, given in the title, is proved. With its help, the positive and the negative part and the absolute value of elements of DRl-semigroups are defined and some expected properties of these concepts are proved.
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