INJECTIVE HULLS OF PARTIALLY ORDERED MONOIDS

INJECTIVE HULLS OF PARTIALLY ORDERED MONOIDS
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发表时间:
2012
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通讯作者:
J. Lambek;M. Barr;J. Kennison;R. Raphael
J. Lambek;M. Barr;J. Kennison;R. Raphael
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其他
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作者:
J. Lambek;M. Barr;J. Kennison;R. Raphael

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在对象为伪一元和次乘保序函数的范畴中,研究了部分有序一元的内射壳。这些注入的船体是相对于一类特殊的单体,称为“嵌入”。我们也证明了相对于这些嵌入的内射物体正是量子。
We nd the injective hulls of partially ordered monoids in the category whose objects are po-monoids and submultiplicative order-preserving functions. These injective hulls are with respect to a special class of monics called \embeddings". We show as well that the injective objects with respect to these embeddings are precisely the quantales.