Results 21 to 30 of about 24,660 (205)
Irreducible skew polynomials over domains
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ -derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible.
Brown C., Pumplün S.
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On the Monoid of Unital Endomorphisms of a Boolean Ring
Axioms, 2021 Let X be a nonempty set and P(X) the power set of X. The aim of this paper is to provide an explicit description of the monoid End1P(X)(P(X)) of unital ring endomorphisms of the Boolean ring P(X) and the automorphism group Aut(P(X)) when X is finite ...
Bana Al Subaiei, Noômen Jarboui
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An extension of the reflexive property of rings
Arab Journal of Mathematical Sciences, 2019 Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism α, Krempa studied α-rigid rings as an extension of reduced rings. In this note, we introduce the notion of α-quasi reflexive rings as
Arnab Bhattacharjee
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Entropy and flatness in local algebraic dynamics [PDF]
, 2013 For a local endomorphism of a noetherian local ring we introduce a notion of entropy, along with two other asymptotic invariants. We use this notion of entropy to extend numerical conditions in Kunz' regularity criterion to every contracting endomorphism
Majidi-Zolbanin, Mahdi +2 more
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Flat modules and coherent endomorphism rings relative to some matrices
AIMS Mathematics, 2023 Let $ N $ be a left $ R $-module with the endomorphism ring $ S = \text{End}(_{R}N) $. Given two cardinal numbers $ \alpha $ and $ \beta $ and a matrix $ A\in S^{\beta\times\alpha} $, $ N $ is called flat relative to $ A $ in case, for each $ x\in l_{N^{(
Yuedi Zeng
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Endomorphisms and Product Bases of the Baer-Specker Group
International Journal of Mathematics and Mathematical Sciences, 2009 The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers.
E. F. Cornelius
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A trade-off between classical and quantum circuit size for an attack against CSIDH
Journal of Mathematical Cryptology, 2020 We propose a heuristic algorithm to solve the underlying hard problem of the CSIDH cryptosystem (and other isogeny-based cryptosystems using elliptic curves with endomorphism ring isomorphic to an imaginary quadratic order 𝒪).
Biasse Jean-François +4 more
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A KIND OF F-INVERSE SPLIT MODULES [PDF]
Journal of Algebraic Systems, 2020 Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12].
M. Hosseinpour, A. R. Moniri Hamzekolaee
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Universal deformation rings for the symmetric group S_4
, 2008 Let k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k. Let S_4 denote the symmetric group on 4 letters.
A. Wiles +18 more
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The fusion algebra of bimodule categories [PDF]
, 2007 We establish an algebra-isomorphism between the complexified Grothendieck ring F of certain bimodule categories over a modular tensor category and the endomorphism algebra of appropriate morphism spaces of those bimodule categories.
A. Joyal +30 more
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