Euler quotients and Wilson quotients for polynomials over finite local rings

被引：0

作者：

Iamthong, Kittitat ^{[1
]}

Meemark, Yotsanan ^{[1
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok 10330, Thailand

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2018年 / 17卷 / 08期

关键词：

Euler quotients; local rings; Wilson quotients;

D O I：

10.1142/S0219498818501529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we introduce the Euler quotients and the Euler quotients of degree d in polynomial rings over finite local rings. We have some analogous congruences as in the case of polynomial rings over finite fields. Moreover, we relate the sum of Euler quotients to Wilson quotient and obtain some nice congruences which allow us to have Lerch quotients.

引用

页数：12

共 50 条

[41] BALANCED UNITARY CAYLEY SIGRAPHS OVER FINITE COMMUTATIVE RINGS
Meemark, Yotsanan
Suntornpoch, Borworn
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (05)
[42] Self-dual codes over a family of local rings
Dougherty, Steven T.
Fernandez-Cordoba, Cristina
Ten-Valls, Roger
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2021, 32 (03) : 265 - 281
[43] Self-dual codes over a family of local rings
Steven T. Dougherty
Cristina Fernández-Córdoba
Roger Ten-Valls
Applicable Algebra in Engineering, Communication and Computing, 2021, 32 : 265 - 281
[44] Krull–Remak–Schmidt Fails for Artinian Modules over Local Rings
Claus Michael Ringel
Algebras and Representation Theory, 2001, 4 : 77 - 86
[45] Regular bi-interpretability of Chevalley groups over local rings
Bunina, Elena
EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (03)
[46] PERFECT STATE TRANSFER IN UNITARY CAYLEY GRAPHS OVER LOCAL RINGS
Meemark, Y.
Sriwongsa, S.
TRANSACTIONS ON COMBINATORICS, 2014, 3 (04) : 43 - 54
[47] Regular bi-interpretability of Chevalley groups over local rings
Elena Bunina
European Journal of Mathematics, 2023, 9
[48] On Linear Codes over Local Rings of Order p4
Alabiad, Sami
Alhomaidhi, Alhanouf Ali
Alsarori, Nawal A.
MATHEMATICS, 2024, 12 (19)
[49] MONOIDS OF TORSION-FREE MODULES OVER RINGS WITH FINITE REPRESENTATION TYPE
Baeth, Nicholas R.
Luckas, Melissa R.
JOURNAL OF COMMUTATIVE ALGEBRA, 2011, 3 (04) : 439 - 458
[50] Universal Equivalence of Linear Groups Over Local Commutative Rings with 1/2
G. A. Kaleeva
Algebra and Logic, 2019, 58 : 313 - 321

← 1 2 3 4 5 →