ስለዚህ ኢ-መጽሐፍ
VI of Oregon lectures in 1962, Bass gave simplified proofs of a number of "Morita Theorems", incorporating ideas of Chase and Schanuel. One of the Morita theorems characterizes when there is an equivalence of categories mod-A R::! mod-B for two rings A and B. Morita's solution organizes ideas so efficiently that the classical Wedderburn-Artin theorem is a simple consequence, and moreover, a similarity class [AJ in the Brauer group Br(k) of Azumaya algebras over a commutative ring k consists of all algebras B such that the corresponding categories mod-A and mod-B consisting of k-linear morphisms are equivalent by a k-linear functor. (For fields, Br(k) consists of similarity classes of simple central algebras, and for arbitrary commutative k, this is subsumed under the Azumaya [51]1 and Auslander-Goldman [60J Brauer group. ) Numerous other instances of a wedding of ring theory and category (albeit a shot gun wedding!) are contained in the text. Furthermore, in. my attempt to further simplify proofs, notably to eliminate the need for tensor products in Bass's exposition, I uncovered a vein of ideas and new theorems lying wholely within ring theory. This constitutes much of Chapter 4 -the Morita theorem is Theorem 4. 29-and the basis for it is a corre spondence theorem for projective modules (Theorem 4. 7) suggested by the Morita context. As a by-product, this provides foundation for a rather complete theory of simple Noetherian rings-but more about this in the introduction.
ለዚህ ኢ-መጽሐፍ ደረጃ ይስጡ
ምን እንደሚያስቡ ይንገሩን።
የንባብ መረጃ
ዘመናዊ ስልኮች እና ጡባዊዎች
የGoogle Play መጽሐፍት መተግበሪያውን ለAndroid እና iPad/iPhone ያውርዱ። ከእርስዎ መለያ ጋር በራስሰር ይመሳሰላል እና ባሉበት የትም ቦታ በመስመር ላይ እና ከመስመር ውጭ እንዲያነቡ ያስችልዎታል።
ላፕቶፖች እና ኮምፒውተሮች
የኮምፒውተርዎን ድር አሳሽ ተጠቅመው በGoogle Play ላይ የተገዙ ኦዲዮ መጽሐፍትን ማዳመጥ ይችላሉ።
ኢሪደሮች እና ሌሎች መሳሪያዎች
እንደ Kobo ኢ-አንባቢዎች ባሉ ኢ-ቀለም መሣሪያዎች ላይ ለማንበብ ፋይል አውርደው ወደ መሣሪያዎ ማስተላለፍ ይኖርብዎታል። ፋይሎቹን ወደሚደገፉ ኢ-አንባቢዎች ለማስተላለፍ ዝርዝር የእገዛ ማዕከል መመሪያዎቹን ይከተሉ።
