Analysis of Automata Models Determined on Varieties over Finite Ring

2013 ◽  
Vol 45 (8) ◽  
pp. 21-31
Author(s):  
V.V. Skobelev
Keyword(s):  
Finite Ring

scholarly journals The predictable degree property and row reducedness for systems over a finite ring

2007 ◽  
Vol 425 (2-3) ◽  
pp. 776-796 ◽  
Author(s):  
Margreta Kuijper ◽  
Raquel Pinto ◽  
Jan Willem Polderman
Keyword(s):  
Finite Ring

scholarly journals Extension theorems for various weight functions over Frobenius bimodules

2018 ◽  
Vol 17 (03) ◽  
pp. 1850052 ◽  
Author(s):  
Heide Gluesing-Luerssen ◽  
Tefjol Pllaha
Keyword(s):  
Duality Theory ◽  
Extension Property ◽  
Finite Ring ◽  
Weight Functions ◽  
Hamming Weight ◽  
Theoretic Approach ◽  
Extension Theorems ◽  
Homogeneous Weight

In this paper, we study codes where the alphabet is a finite Frobenius bimodule over a finite ring. We discuss the extension property for various weight functions. Employing an entirely character-theoretic approach and a duality theory for partitions on Frobenius bimodules, we derive alternative proofs for the facts that the Hamming weight and the homogeneous weight satisfy the extension property. We also use the same techniques to derive the extension property for other weights, such as the Rosenbloom–Tsfasman weight.

Về một giải pháp nâng cao độ an toàn cho lược đồ chữ ký số trong vành hữu hạn Zn

2020 ◽  
Vol 8 (2) ◽  
pp. 1-9
Author(s):  
Nguyễn Đào Trường ◽  
Lê Văn Tuấn
Keyword(s):  
Digital Signature ◽  
Discrete Logarithm ◽  
Finite Ring ◽  
Signature Scheme ◽  
Mandatory Requirement ◽  
Digital Signature Scheme

Tóm tắt— Chữ ký số ngày càng được sử dụng rộng rãi và là yêu cầu bắt buộc đối với rất nhiều nền tảng an toàn. Bài báo đề xuất một giải pháp nâng cao độ an toàn cho lược đồ chữ ký số dựa trên bài toán logarit rời rạc trên vành hữu hạn Zn.Abstract— The digital signature is increasingly widely used, and it is the mandatory requirement for many security platforms. The paper proposes a solution to improve the security of digital signature scheme based on the problem of discrete logarithm on finite ring Zn.

scholarly journals Finite unitary rings with a single subgroup of prime order of the group of units

2020 ◽  
pp. 2150234
Author(s):  
Mostafa Amini ◽  
Mohsen Amiri
Keyword(s):  
Prime Number ◽  
Prime Order ◽  
Finite Ring ◽  
Group Of Units

Let [Formula: see text] be a unitary ring of finite cardinality [Formula: see text], where [Formula: see text] is a prime number and [Formula: see text]. We show that if the group of units of [Formula: see text] has at most one subgroup of order [Formula: see text], then [Formula: see text] where [Formula: see text] is a finite ring of order [Formula: see text] and [Formula: see text] is a ring of cardinality [Formula: see text] which is one of the six explicitly described types.

On the Set of Zero Divisors of a Topological Ring

1967 ◽  
Vol 10 (4) ◽  
pp. 595-596 ◽  
Author(s):  
Kwangil Koh
Keyword(s):  
Finite Number ◽  
Compact Subset ◽  
Finite Ring ◽  
Left Zero ◽  
Topological Ring ◽  
Compact Ring ◽  
Zero Divisors ◽  
Interesting Corollary

Let R be a topological (Hausdorff) ring such that for each a ∊ R, aR and Ra are closed subsets of R. We will prove that if the set of non - trivial right (left) zero divisors of R is a non-empty set and the set of all right (left) zero divisors of R is a compact subset of R, then R is a compact ring. This theorem has an interesting corollary. Namely, if R is a discrete ring with a finite number of non - trivial left or right zero divisors then R is a finite ring (Refer [1]).

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