Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
Carolus Dissertation3.pdf (557.26 KB)
ETD Abstract Container
Abstract Header
Properties of Higher Order Hochschild Cohomology
Author Info
Carolus, Samuel R
ORCID® Identifier
http://orcid.org/0000-0002-6142-4283
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1559223542984021
Abstract Details
Year and Degree
2019, Doctor of Philosophy (Ph.D.), Bowling Green State University, Mathematics/Mathematics (Pure).
Abstract
In this dissertation, we show that H
S
2
*
(A; A), the higher order Hochschild cohomology over S
2
, has a G-algebra structure. We also offer an explicit description of a chain complex to compute higher order Hochschild homology over S
3
. We then use the resulting three-dimensional picture to define a new generalization of Hochschild homology called the ternary Hochschild homology. Finally, we offer a way to define higher order homology over S
2
when the algebra is noncommutative.
Committee
Mihai Staic, Ph.D (Advisor)
Lianfeng Sun, Ph.D. (Other)
Kit Chan, Ph.D. (Committee Member)
Xiangdong Xie, Ph.D. (Committee Member)
Pages
106 p.
Subject Headings
Mathematics
Keywords
Homological Algebra
;
Simplicial
;
Hochschild
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Carolus, S. R. (2019).
Properties of Higher Order Hochschild Cohomology
[Doctoral dissertation, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1559223542984021
APA Style (7th edition)
Carolus, Samuel.
Properties of Higher Order Hochschild Cohomology.
2019. Bowling Green State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1559223542984021.
MLA Style (8th edition)
Carolus, Samuel. "Properties of Higher Order Hochschild Cohomology." Doctoral dissertation, Bowling Green State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1559223542984021
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
bgsu1559223542984021
Download Count:
388
Copyright Info
© 2019, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.