universal algebra 中文意思是什麼

universal algebra 解釋
n. 名詞 【邏輯學】全稱命題;【哲學】一般(性),普遍(性);共相。

  • universal : adj 1 宇宙的,萬有的,萬物的;完全的,絕對的;全世界的。 2 人類全體的,萬人的;全面的,普及的,普...
  • algebra : n. 代數學。
  1. Abstract : direct limit and inverse limit are the methods producing new algebra in universal algebra. in order to further study the production of the new algebra, authors define the family of duplicate set and duplicate limit, discuss the algebraic duplicate limit, the characterestics of the once more duplicate direct set and more duplicate direct limit, the family of once more duplicate direct direct algebra and the limit of once more duplicate algebraic set family

    文摘:直極限和逆極限是泛代數中生成新代數的方法,為了進一步研究新代數的生成,筆者給出了重集族和重極限的定義,討論了代數的重極限;其次研究了二重直集族和二重直極限及相應性質,討論了二重直代數族和二重直代數族的極限
  2. Using universal property, we can define general ( pre ) cover and ( pre ) envelope, such as gorenstein injective ( projective or flat ) ( pre ) cover and ( pre ) envelope, 5 - torsion free ( pre ) cover etc. in a word, problems on ( pre ) over and ( pre ) envelope have aroused considerable debate in the academic circle, which embodies flexible use of tools of homological algebra in studying categories of rings and modules

    而且利用泛性我們又可定義更廣泛意義上的包、蓋問題,例如: gorenstin內射(平坦、投射)包(蓋) , s -無撓預蓋,等等。用這類比內射(平坦、投射)更廣泛意義上的特殊模又能刻畫一些環。總之,包、蓋問題是當今非常活躍的研究課題,體現了同調代數在環模範疇研究中靈活運用。
  3. Universal enveloping algebra

    萬有包絡代數
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