Results 221 to 230 of about 15,241 (255)

The generalized Burnside ring and theK-theory of a ring with roots of unity

K-Theory, 1992
Let \(\ell\) be an odd prime and let \(p\neq\ell\) be a prime which generates the \(\ell\)-adic units. Let \(\zeta_ a\) be a primitive \(\ell^ a\)-th root of unity and let \(\mu\) be the group of \(\ell\)-primary roots of unity in \(\mathbb{Z}[\zeta_ a]\). Then there is a natural map \(h: Q_ 0(B\mu_ +)\to\text{BGL}(\mathbb{Z}[\zeta_ a])^ +\), where \(B\
Dwyer, W. G., Friedlander, E. M., Mitchell, S. A.   +2 more
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On 2-absorbing primary submodules of modules over commutative ring with unity

Asian-European Journal of Mathematics, 2015
In this paper, we introduce the concept of a [Formula: see text]-absorbing primary submodule over a commutative ring with nonzero identity which is a generalization of primary submodule. Let [Formula: see text] be an [Formula: see text]-module and [Formula: see text] be a proper submodule of [Formula: see text].
Dubey, Manish Kant, Aggarwal, Pakhi
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Pure ideals in commutative reduced Gelfand rings with unity

Archiv der Mathematik, 1989
In this paper, pure ideals in the class of all commutative reduced Gelfand rings with unity are classified. Then as an application, we prove that any pure ideal in the ring C(X) of all continuous real valued functions over a completely regular Hausdorff space has the form \(\cap_{x\in K}0_ x \), where K is a closed subset of the Stone- Čech ...
openaire   +1 more source

On non-linearity and affine equivalence of permutations over an arbitrary finite commutative ring with unity

Cryptologia, 2017
Cryptographic properties of permutations viz non-linearity, affine equivalence, and mode transform have been studied in the literature, treating them as bijections on ℤn.
P. R. Mishra, Yogesh Kumar, N. R. Pillai, R. K. Sharma   +3 more
openaire   +1 more source

The algebra of a commutative semigroup over a commutative ring with unity

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1985
SynopsisA new description is provided for the nil radical of the algebra RS of a commutative semigroup S over a commutative ring R with a 1. It is shown that the Jacobson radical of RS is nil if the Jacobson radical of R is nil and that the converse holds in the case where S is periodic.
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Beat frequencies in a ring laser gyro with its refractive index over unity

Journal of Applied Physics, 2001
A frequency shift Δf during rotation in a ring laser gyro with its refractive index of unity was already well known. However, when the refractive index nr is over unity, several expressions for a beat frequency such as 2Δf∝nr, nr0, nr−1, and nr−2 were proposed.
openaire   +1 more source

On the structure of digraphs of polynomial transformations over finite commutative rings with unity

Discrete Mathematics and Applications, 2018
Abstract The paper describes structural characteristics of the digraph of an arbitrary polynomial transformation of a finite commutative ring with unity. A classification of vertices of the digraph is proposed: cyclic elements, initial elements, and branch points are described. Quantitative results on such objects
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ALGEBRAICK-THEORY AS EXTRAORDINARY HOMOLOGY THEORY ON THE CATEGORY OF ASSOCIATIVE RINGS WITH UNITY

Mathematics of the USSR-Izvestiya, 1971
Algebraic K-theory can be constructed by means of the homotopy groups of the abstract simplicial structure on the group of invertible matrices GL(A) of the ring A. This structure may be naturally taken as two-sidedly invariant. Of basic interest is the multiplication in the functor so obtained, which for different rings A assumes different aspects.
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Universal adjacency spectrum of the cozero-divisor graph and its complement on a finite commutative ring with unity

Discrete Mathematics, Algorithms and Applications
For a finite simple undirected graph [Formula: see text], the universal adjacency matrix [Formula: see text] is a linear combination of the adjacency matrix [Formula: see text], the degree diagonal matrix [Formula: see text], the identity matrix [Formula: see text] and the all-ones matrix [Formula: see text], that is [Formula: see text], where ...
Bajaj, Saraswati, Panigrahi, Pratima
openaire   +2 more sources

THE CODIVISOR GRAPH OF A FINITE RING WITH UNITY

Advances and Applications in Discrete Mathematics, 2023
Anurag Baruah, Kuntala Patra
openaire   +1 more source