Hall polynomials for $2$-nakayama algebras

In this note we show that Hall polynomials exist for basic connected right $2$-Nakayama algebras. This result prove the Ringel's conjecture for right $2$-Nakayama algebras.

Bibliographic Details
Main Author: Alireza Nasr-Isfahani
Format: Article
Language:fas
Published: University of Isfahan 2022-05-01
Series:ریاضی و جامعه
Subjects:
Online Access:https://math-sci.ui.ac.ir/article_26926_0fa7f6f4e9ff7bfb6ee859192b77c4dc.pdf
_version_ 1797806955793743872
author Alireza Nasr-Isfahani
author_facet Alireza Nasr-Isfahani
author_sort Alireza Nasr-Isfahani
collection DOAJ
description In this note we show that Hall polynomials exist for basic connected right $2$-Nakayama algebras. This result prove the Ringel's conjecture for right $2$-Nakayama algebras.
first_indexed 2024-03-13T06:15:15Z
format Article
id doaj.art-177ac7d2a83d4e6c98460203ee667e49
institution Directory Open Access Journal
issn 2345-6493
2345-6507
language fas
last_indexed 2024-03-13T06:15:15Z
publishDate 2022-05-01
publisher University of Isfahan
record_format Article
series ریاضی و جامعه
spelling doaj.art-177ac7d2a83d4e6c98460203ee667e492023-06-11T04:27:28ZfasUniversity of Isfahanریاضی و جامعه2345-64932345-65072022-05-0171859210.22108/msci.2022.134443.151526926Hall polynomials for $2$-nakayama algebrasAlireza Nasr-Isfahani0Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, IranIn this note we show that Hall polynomials exist for basic connected right $2$-Nakayama algebras. This result prove the Ringel's conjecture for right $2$-Nakayama algebras.https://math-sci.ui.ac.ir/article_26926_0fa7f6f4e9ff7bfb6ee859192b77c4dc.pdfhall polynomialsringel-hall algebras$2$-nakayama algebrasrepresentation finite algebra
spellingShingle Alireza Nasr-Isfahani
Hall polynomials for $2$-nakayama algebras
ریاضی و جامعه
hall polynomials
ringel-hall algebras
$2$-nakayama algebras
representation finite algebra
title Hall polynomials for $2$-nakayama algebras
title_full Hall polynomials for $2$-nakayama algebras
title_fullStr Hall polynomials for $2$-nakayama algebras
title_full_unstemmed Hall polynomials for $2$-nakayama algebras
title_short Hall polynomials for $2$-nakayama algebras
title_sort hall polynomials for 2 nakayama algebras
topic hall polynomials
ringel-hall algebras
$2$-nakayama algebras
representation finite algebra
url https://math-sci.ui.ac.ir/article_26926_0fa7f6f4e9ff7bfb6ee859192b77c4dc.pdf
work_keys_str_mv AT alirezanasrisfahani hallpolynomialsfor2nakayamaalgebras