Algebra

Stanisław Łojasiewicz
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Stanisław Łojasiewicz: Jagiellonian University, Department of Mathematics

Chapter Chapter A in Introduction to Complex Analytic Geometry, 1991, pp 1-71 from Springer

Abstract: Abstract By a ring we will mean a commutative ring with identity. We will be assuming that all subrings contain the identity, all ring homomorphisms preserve the identity and all modules satisfy the condition 1x = x. By a field we will mean a commutative field. In any non-zero ring and in any field, 1 is not equal to 0 (1) . If K is a field, then vector spaces over K are defined as modules over K and linear mappings between them are just homomorphisms of modules. The dimension of a vector space X over K is denoted as dim X or dimK X.

Keywords: Prime Ideal; Local Ring; Integral Domain; Noetherian Ring; Great Common Divisor (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-3-0348-7617-9_1

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