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math.KT2018
About categorification of cyclotomic integers and tensored N-complexes
Djalal Mirmohades
We prove that the ideal used in recent works to categorify the cyclotomic integers is generated by a cyclotomic polynomial. Moreover, we publish a proof by T. Ekedahl that the -…
math.KT2015★ 2 cited
Categorification of the ring of cyclotomic integers for products of two primes
Djalal Mirmohades
Let be a product of two distinct prime numbers. We construct a triangulated monoidal category having a Grothendieck ring isomorphic to the ring of :th cyclotomic integers.
math.KT2014★ 3 cited
Homologically optimal categories of sequences lead to N-complexes
Djalal Mirmohades
We study the category of -indexed sequences over an abelian category and certain generalized homology functors for this category of sequences which are indexed by posit…