Taylor, Kiley Christine (2022) A Geometric Approach to Block Monoids. Doctoral thesis, UIN SAIZU Purwokerto.
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Abstract
The block monoid B(G), over an Abelian group G, is the set of all zero sum sequences of G. Factorization length is one of several factorization invariants that provides an algebraic framework through which the structure of block monoids is commonly studied. In this thesis, we introduce a way to study the structure of block monoids from a geometric perspective. We look at max factorization length and explore current results for B(Z4), B(Z5), and B(Z6), and present several conjectures for block monoids over larger Abelian groups.
| Item Type: | Thesis (Doctoral) |
|---|---|
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Perpustakaan |
| Depositing User: | sdr prakerin 22 |
| Date Deposited: | 20 May 2022 02:09 |
| Last Modified: | 20 May 2022 02:09 |
| URI: | http://repository.uinsaizu.ac.id/id/eprint/13520 |
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