Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal Journal of the Indonesian Mathematical Society Journal of Mathematical and Fundamental Sciences
Hanni Garmini
Department Of Mathematics, Institut Teknologi Bandung
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

Published : 2 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 2 Documents
Search

 1 
Quivers of Bound Path Algebras and Bound Path Coalgebras Intan Muchtadi Alamsyah; Hanni Garmini
Journal of Mathematical and Fundamental Sciences Vol. 42 No. 2 (2010)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/itbj.sci.2010.42.2.6

Abstract

Algebras and coalgebras can be represented as quiver (directed graph), and from quiver we can construct algebras and coalgebras called path algebras and path coalgebras. In this paper we show that the quiver of a bound path coalgebra (resp. algebra) is the dual quiver of its bound path algebra (resp. coalgebra).
Explicit Formulas for the Anti-Trace of 3-by-3 Matrix Powers via Generating Functions Jeriko Gormantara; Devi Fitri Ferdania; Fajar Yuliawan; Hanni Garminia
Journal of the Indonesian Mathematical Society Vol. 32 No. 3 (2026): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v32i3.2260

Abstract

We study the anti-trace—the sum of anti-diagonal entries—of powers of 3-by-3 matrices. Unlike the ordinary trace, the anti-trace has no spectral characterization, so closed forms for the anti-trace of matrix powers are valuable. Starting from the Cayley--Hamilton recurrence for matrix powers and solving a trivariate generating function, we derive explicit closed-form expressions whose coefficients are signed multinomial combinations of the sums of principal minors and their anti-principal counterparts. The formulas are purely algebraic and remain valid over any commutative ring. As a structural application, we analyze block anti-diagonal matrices of size 3m-by-3m.
Co-Authors Devi Fitri Ferdania Fajar Yuliawan Intan Muchtadi Alamsyah Jeriko Gormantara