6533b7d7fe1ef96bd12678ba

RESEARCH PRODUCT

An Overview on Algebraic Structures

Ferrante NeriFerrante Neri

subject

AlgebraEquivalence class (music)Ring theoryHierarchy (mathematics)Algebraic structureEquivalence relationBasis (universal algebra)Commutative ringCharacterization (mathematics)Mathematics

description

This chapter recaps and formalizes concepts used in the previous sections of this book. Furthermore, this chapter reorganizes and describes in depth the topics mentioned at the end of Chap. 1, i.e. a formal characterization of the abstract algebraic structures and their hierarchy. This chapter is thus a revisited summary of concepts previously introduced and used and provides the mathematical basis for the following chapters.

yearjournalcountryeditionlanguage
2016-01-01
https://doi.org/10.1007/978-3-319-40341-0_7