On lattice-ordered rings in which the square of every element is positive

Stuart A. Steinberg

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On lattice-ordered rings in which the square of every element is positive

机译：在每个元素的平方为正的晶格有序环上

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It is shown that a unital lattice-ordered ring in which the square of every element is positive is embeddable in a product of totally ordered rings provided it is archimedean, semiperfect, or ?€-regular. Also, some canonical examples of unital l-domains with squares positive that are not totally ordered are discussed.

机译：结果表明，如果每个元素的平方为正，则单位格序环可以嵌入到全序环的乘积中，只要它是阿基米德，半完全或正则规则的即可。此外，讨论了具有正整数但未完全排序的单位l域的一些规范示例。

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《Journal of the Australian Mathematical Society》 |2009年第3期|共页
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Stuart A. Steinberg;
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中图分类数学;
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1. On lattice-ordered rings in which the square of every element is positive [J] . Stuart A. Steinberg Journal of the Australian Mathematical Society . 2009,第3期

机译：在每个元素的平方为正的晶格有序环上
2. Positive derivations on archimedean lattice-ordered rings [J] . Jingjing Ma, Robert H. Redfield Positivity . 2009,第1期

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On lattice-ordered rings in which the square of every element is positive

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