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Network Communication with operators in Dedekind Finite and Stably Finite Rings [PDF]
Messages in communication networks often are considered as "discrete" taking values in some finite alphabet (e.g. a finite field). However, if we want to consider for example communication based on analogue signals, we will have to consider messages that
Riis, S
core +4 more sources
On Reversible Group Rings [PDF]
Let G be an arbitrary finite group, R be a finite associative ring with identity and RG be the group ring. We show that ℤ2Q8 is the minimal reversible group ring which is not symmetric, and we also characterise the finite rings R for which RQ8 is reversible. The first result extends a result of Gutan and Kisielewicz which shows that ℤ2Q8 is the minimal
Li, Yuanlin +2 more
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The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
core +7 more sources
A Note on Skew Generalized Power Serieswise Reversible Property
The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal.
Eltiyeb Ali
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Extensions of i-reversible rings
A ring [Formula: see text] is said to be i-reversible if for every [Formula: see text] [Formula: see text][Formula: see text], [Formula: see text] is a nonzero idempotent implies [Formula: see text] is an idempotent. It is known that the rings [Formula: see text] and [Formula: see text] (the ring of all upper triangular matrices over [Formula: see ...
Lama, Vivek Bhabani +3 more
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Introduction: The choice-making process of the contraceptive method seems complex and influenced by many factors. Long-acting reversible contraceptives require mechanical interference with the woman's body. For some, it will be an insurmountable barrier
Aleksandra Nowak +2 more
doaj +1 more source
Polar Solomon rings in ferroelectric nanocrystals
Solomon rings, upholding the symbol of wisdom with profound historical roots, were widely used as decorations in ancient architecture and clothing.
Jing Wang +21 more
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Images of formal matrices of elements of matrix groups over associative rings
The paper substantiates the image by formal matrices of some elements of linear groups over associative rings by using the properties of redundant and fixed modules.
В. М. Петечук +1 more
doaj +1 more source
Over finite local Frobenius non-chain rings of length 5 and nilpotency index 4 and when the length of the code is relatively prime to the characteristic of the residue field of the ring, the structure of the dual of γ-constacyclic codes is established ...
Castillo-Guillén C. A. +1 more
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CHARACTERIZATIONS OF t2-REVERSIBLE RINGS
This article aims to investigate the ring theoretic structures of (strongly) t2-reversible ring using the concept of non-zero tripotent elements. A ring R is said to be t2-reversible if ab = 0 implies bat2 = 0 for all a,b ∈ R and t is a non-zero tripotent element of R.
Imdadul Hoque, H. M., Khanam, Masuma
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