Results 11 to 20 of about 33,732 (253)
On Reversible Group Rings [PDF]
Bulletin of the Australian Mathematical Society, 2006 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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Extensions of i-reversible rings
Journal of Algebra and Its Applications, 2023 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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Journal of Education, Health and Sport, 2023 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
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Polar Solomon rings in ferroelectric nanocrystals
Nature Communications, 2023 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
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 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
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 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
South East Asian J. of Mathematics and Mathematical Sciences, 2023 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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Molecules, 2022 Azobenzene derivatives have become one of the most famous photoresponsive chromophores in the past few decades for their reversible molecular switches upon the irradiation of actinic light.
Hao Ren, Peng Yang, Haifeng Yu
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Reverse mathematics of rings [PDF]
, 2021 <p>Using the tools of reverse mathematics in second-order arithmetic, as developed by Friedman, Simpson, and others, we determine the axioms necessary to develop various topics in commutative ring theory. Our main contributions to the field are as follows.
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On $\mathcal Z$-reflexive rings [PDF]
Mathematica BohemicaWe introduce the notion of $\mathcal Z$-reflexive rings to describe reflexivity of rings in terms of their singular ideals. We show that $\mathcal Z$-reflexive ring is proper common generalization of a central reflexive ring, $\mathcal Z$-reversible ring,
Nirbhay Kumar
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