Ấn phẩm:
Generalized primary rings
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The concept of a primary ideal in commutative rings has been extended in several ways to noncommutative ring theory. Generically these are called generalized primary conditions. We investigate the interrelations between these generalizations as well as their relation to various structural properties of a ring. Particular attention is given to the additive group structure of the ring. Conditions are given for the intersection of generalized primary ideals to be generalized primary. Ascending chain conditions on ideals are useful in this context. Various set inclusion relations and permutation identities are used to establish conditions for one-sided primary conditions to be two-sided. Examples are given to illustrate and delimit the theory developed.
Tác giả
Gorton, Christine E.
Người hướng dẫn
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Nhà xuất bản
University of Louisiana
Năm xuất bản
2006
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Từ khóa chủ đề
Ring (Toán học)