Results 1 to 10 of about 386,457 (283)
Formalized linear algebra over Elementary Divisor Rings in Coq [PDF]
Logical Methods in Computer Science, 2016 This paper presents a Coq formalization of linear algebra over elementary divisor rings, that is, rings where every matrix is equivalent to a matrix in Smith normal form.
Guillaume Cano +4 more
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The Ring Homomorphisms of Matrix Rings over Skew Generalized Power Series Rings
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021 Let M_n (R_1 [[S_1,≤_1,ω_1]]) and M_n (R_2 [[S_2,≤_2,ω_2]]) be a matrix rings over skew generalized power series rings, where R_1,R_2 are commutative rings with an identity element, (S_1,≤_1 ),(S_2,≤_2 ) are strictly ordered monoids, ω_1:S_1→End(R_1 ),〖
Ahmad Faisol, Fitriani Fitriani
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Formal Matrix Rings: Isomorphism Problem
Mathematics, 2023 We consider the isomorphism problem for formal matrix rings over a given ring. Principal factor matrices of such rings play an important role in this case.
Piotr Krylov, Askar Tuganbaev
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ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS [PDF]
Journal of Algebraic Systems, 2019 Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$
M. Rezagholibeigi, A. R. Naghipour
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Relative Gorenstein Dimensions over Triangular Matrix Rings
Mathematics, 2021 Let A and B be rings, U a (B,A)-bimodule, and T=A0UB the triangular matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are investigated.
Driss Bennis +3 more
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Idempotents in Matrix Rings [PDF]
Proceedings of the American Mathematical Society, 1994 Let R be a commutative, von Neumann regular ring and M n ( R ) {M_n}(R) the ring of n × n n \times n matrices over R. What are the idempotents in M n (
Barnett, Christopher, Camillo, Victor
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Математичні Студії, 2021 We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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A First Study of Urginea maritima Rings: A Case Study from Southern Jordan
Land, 2022 Vegetation rings are a common pattern in water-limited environments and mostly occur in clonal plants. This study presents, for the first time, rings of the geophyte species Urginea maritima. The rings, typically 40–90 cm in diameter, are abundant in the
Hezi Yizhaq +2 more
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Matrix Diophantine equations over quadratic rings and their solutions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The method for solving the matrix Diophantine equations over quadratic rings is developed. On the basic of the standard form of matrices over quadratic rings with respect to $(z,k)$-equivalence previously established by the authors, the matrix ...
N.B. Ladzoryshyn +2 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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