Книга: Asma Zaffar «Generalization of Flat Module over Non-Commutative Ring»

Generalization of Flat Module over Non-Commutative Ring

Производитель: "LAP Lambert Academic Publishing"

This study enhances the study of module approximation over commutative rings to module approximation over general rings. Free, torsion free, projective, flat approximations and approximations by modules embeddable in a flat module appear in literature. In this study a slightly different concept of I-flat modules is utilized to study approximations. Covers by I-flat modules and modules embeddable in I-flat modules are thus studied in the newer set up. Also, the links between flat and I-flat covers are explored. In modern literature the terminology of approximation is some times replaced by the terminology of cover. Throughout this study it is preferred to adopt the same. ISBN:9783659537486

Издательство: "LAP Lambert Academic Publishing" (2014)

ISBN: 9783659537486

См. также в других словарях:

  • Module (mathematics) — For other uses, see Module (disambiguation). In abstract algebra, the concept of a module over a ring is a generalization of the notion of vector space, wherein the corresponding scalars are allowed to lie in an arbitrary ring. Modules also… …   Wikipedia

  • Glossary of scheme theory — This is a glossary of scheme theory. For an introduction to the theory of schemes in algebraic geometry, see affine scheme, projective space, sheaf and scheme. The concern here is to list the fundamental technical definitions and properties of… …   Wikipedia

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