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Search results with tag "Commutative algebra"
Higher Algebra - people.math.harvard.edu
people.math.harvard.eduAn alternate possibility is to work with commutative ring objects in the category of topological spaces itself: that is, to require the ring axioms to hold \on the nose" and not just up to homotopy. Although this does lead to a reasonable generalization of classical commutative algebra, it …
COMMUTATIVE ALGEBRA Contents - Columbia University
stacks.math.columbia.edu00AP Basic commutative algebra will be explained in this document. A reference is [Mat70]. 2. Conventions 00AQ A ring is commutative with 1. The zero ring is a ring. In fact it is the only ring thatdoesnothaveaprimeideal. TheKroneckersymbolδ ijwillbeused. IfR→S isaringmapandq aprimeofS,thenweusethenotation“p = R∩q”toindicate