Hermann Grassmann and the Prehistory of Universal Algebra
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Desmond FearnleySander  
A definition of universal algebra, with a sketch of its prehistory. "...abstract algebras are divided by a very simple scheme into selfcontained `species'. Within each species a perfect duality is found between families of formal laws and the families of algebras satisfying them. Here the term 'family of algebras of a given species' is used in a technical sense meaning a class closed under taking subalgebras, homomorphic images and direct products  or what is nowadays called a variety. This said, one must point out that undoubtedly the most influential figure in the movement towards abstraction and generality in algebra which culminated in Universal Algebra was Emmy Noether, who died in 1935." Grassmann and Boole; Grassmann's Products; References.  


Levels:  College 
Languages:  English 
Resource Types:  Articles 
Math Topics:  Modern Algebra, History and Biography 
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