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associates

   Also found in: Dictionary/thesaurus, Legal, Idioms, Wikipedia 0.14 sec.
associates [ə′sō·sē·ətz]
(mathematics)
Two elementsxandyin a commutative ring with identity such thatx=ay, whereais a unit. Also known as equivalent elements.


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Independent of this motive of sympathy, if a large and influential State should happen to be the aggressing member, it would commonly have weight enough with its neighbors to win over some of them as associates to its cause.
From those early impressions, the grand enterprise of the great fur companies, and the hazardous errantry of their associates in the wild parts of our vast continent, have always been themes of charmed interest to me; and I have felt anxious to get at the details of their adventurous expeditions among the savage tribes that peopled the depths of the wilderness.
Now those vague liberal dreams with which the Emperor Alexander had ascended the throne, and which he had tried to put into effect with the aid of his associates, Czartoryski, Novosiltsev, Kochubey, and Strogonov- whom he himself in jest had called his Comite de salut public- were taking shape and being realized.
 
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