52 Additive Magmas

This chapter deals with domains that are closed under addition +, which are called near-additive magmas in GAP. Together with the domains closed under multiplication *, (see Magmas), they are the basic algebraic structures. In many cases, the addition is commutative (see IsAdditivelyCommutative), the domain is called an additive magma then; every module (see Modules), vector space (see Vector Spaces), ring (see Rings), or field (see Fields and Division Rings) is an additive magma. In the cases of al (near-)additive magma-with-zero or (near-)additive magma-with-inverses, additional additive structure is present (see (Near-)Additive Magma Categories).

Sections

1. (Near-)Additive Magma Categories
2. (Near-)Additive Magma Generation
3. Attributes and Properties for (Near-)Additive Magmas
4. Operations for (Near-)Additive Magmas

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