Date of Award
Spring 5-22-2021
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
Advisor(s)
Claudia Miller
Second Advisor
Benjamin Briggs
Keywords
Commutative algebra, Grobner Shirshov basis, Hochschild cohomology, Koszul algebra
Subject Categories
Physical Sciences and Mathematics
Abstract
Let k be a field of characteristic 0. In this thesis, we show that the Hochschild cohomology of the family of short Gorenstein k-algebras
sGor(N) =k[X_0,...,X_N](X_iX_j, X_i^2−X_j^2 | i,j= 0,...,N, i different from j), N≥2,
exhibits exponential growth. The proof uses Gröbner-Shirshov basis theory and along the way we describe an explicit monomial basis for the Koszul dual of sGor(N) for N≥2.
Access
Open Access
Recommended Citation
Ohanyan, Mkrtich, "Hochschild Cohomology Of Short Gorenstein Rings" (2021). Dissertations - ALL. 1324.
https://surface.syr.edu/etd/1324
