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Generalized quadratic modules

✍ Scribed by Jacques Helmstetter; Artibano Micali; Philippe Revoy

Book ID: 113110904
Publisher: Springer
Year: 2011
Tongue: English
Weight: 371 KB
Volume: 23
Category: Article
ISSN: 1012-9405
DOI: 10.1007/s13370-011-0018-x

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📜 SIMILAR VOLUMES

Finitely generated quadratic modules

✍ Yuriy A. Drozd 📂 Article 📅 2001 🏛 Springer 🌐 English ⚖ 140 KB

Strong quadratic modules

✍ G. Stroth 📂 Article 📅 1992 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 926 KB

Closures of quadratic modules

✍ Jaka Cimprič; Murray Marshall; Tim Netzer 📂 Article 📅 2011 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 561 KB

Stability of quadratic modules

✍ Tim Netzer 📂 Article 📅 2009 🏛 Springer 🌐 English ⚖ 313 KB

Generalized Hopfian modules

✍ A. Ghorbani; A. Haghany 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 145 KB

A module is called generalized Hopfian (gH) if any of its surjective endomorphisms has a small kernel. Such modules are in a sense dual to weakly co-Hopfian modules that were defined and extensively studied in [A. Haghany, M.R. Vedadi, J. Algebra 243 (2001) 765-779]. Several equivalent formulations

Generalized Pure Modules

✍ John Dauns 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 169 KB

For right modules M < N over a ring R, consider any system of equations in M of the form The usual definition of M as pure in N is that for any such a finite system, if the system is solvable in the bigger module N, then it is already solvable in M. Here the above ordinary concept of purity will be