التفاصيل البيبلوغرافية
| العنوان: |
Conjugacy classes of left ideals of Sweedler's four-dimensional algebra $ H_{4} $ |
| المؤلفون: |
Fengxia Gao, Jialei Chen |
| المصدر: |
AIMS Mathematics, Vol 7, Iss 5, Pp 7720-7727 (2022) |
| بيانات النشر: |
AIMS Press, 2022. |
| سنة النشر: |
2022 |
| المجموعة: |
LCC:Mathematics |
| مصطلحات موضوعية: |
left ideal, idempotent, semigroup, nilpotent left ideal, conjugacy class, Mathematics, QA1-939 |
| الوصف: |
Let $ A $ be a finite-dimensional algebra with identity over the field $ \mathbb{F} $, $ U(A) $ be the group of units of $ A $ and $ L(A) $ be the set of left ideals of $ A $. It is well known that there is an equivalence relation $ \sim $ on $ L(A) $ by defining $ L_1\sim L_2\in L(A) $ if and only if there exists some $ u\in U(A) $ such that $ L_{1} = L_{2}u $. $ C(A) = \{[L]|L\in L(A)\} $ is the set of equivalence classes determined by the relation $ \sim $, which is a semigroup with respect to the natural operation $ [L_1][L_2] = [L_1L_2] $ for any $ L_1, L_2 \in L(A) $. The purpose of this paper is to describe the structures of semigroup of conjugacy classes of left ideals for the Sweedler's four-dimensional Hopf algebra $ H_{4} $. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2473-6988 |
| Relation: |
https://doaj.org/toc/2473-6988 |
| DOI: |
10.3934/math.2022433?viewType=HTML |
| DOI: |
10.3934/math.2022433 |
| URL الوصول: |
https://doaj.org/article/e4b62b561ebc49148b282fd1f4ca2eac |
| رقم الانضمام: |
edsdoj.4b62b561ebc49148b282fd1f4ca2eac |
| قاعدة البيانات: |
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