commutative relations 中文意思是什麼
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In the second section, we structure a kind of semirings, namely semidirect product of semirings, and prove an isomorphic theorem of semidirect products. in the third section, we give the characterizations of the relations of all kinds of regular semirings and introduce the concept of pseudo - inverse and the necessary and sufficient conditions of pseudo - invertible element. in the fourth section, we define an equivalence relation on the cartersian product of commutative semiring and its multiplicative subset
第二部分，先構造一類半環，半環半直積，然後證明半直積的同構定理第三部分，刻劃了半環各類正則元之間關系，引入偽逆的定義，給出了可偽逆元素的充要條件第四部分，在交換半環和乘法集的卡氏積上定義等價關系，進而構造了一類交換半環：分式半環 -
Basic types of river basin improvement were analyzed, and it was demonstrated on commutative relations among river basin improvement investment subjects
分析了流域治理的基本類型，並論證了流域治理投資主體相互之間的互動關系。 -
Furthermore, structure a kind of commutative semirings. namely fractional semiring. then, we prove a universal property of fractional semiring, and we discuss the relations between the ideals of commutative semirings and the ideals of fractional semirings
然後，我們證明了分式半環的泛性質，並且討論了分式半環與交換半環理想之間的關系
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