Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In commutative algebra, an integral domain A is called an N-1 ring if its integral closure in its quotient field is a finite A module. It is called a Japanese ring (or an N-2 ring) if for every finite extension L of its quotient field K, the integral closure of A in L is a finite A module. A ring is called universally Japanese if every finitely generated integral...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In commutative algebra, an integral domain A is called an N-1 ring if its integral closure in its quotient field is a finite A module. It is called a Japanese ring (or an N-2 ring) if for every finite extension L of its quotient field K, the integral closure of A in L is a finite A module. A ring is called universally Japanese if every finitely generated integral domain over it is Japanese, and is called a Nagata ring, named for Masayoshi Nagata, (or a pseudo-geometric ring) if it is Noetherian and universally Japanese. (A ring is called geometric if it is the local ring of an algebraic variety or a completion of such a local ring, but this concept is not used much.)
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Андрей и Владимир Гофманы — известные французские скульпторы русского происхождения. Их работы находятся в коллекциях многих галерей и частных собраниях по всему миру. Оба брата награждены Золотой медалью города Парижа. В данной книге они знакомят читателей со своим художественным подходом, делятся своими мыслями об искусстве, знакомят с некоторыми страницами собственной биографии, рассказывая о...
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