Results 1 to 10 of about 4,751,424 (317)
On S-principal right ideal rings
AIMS Mathematics, 2022 Let S be a multiplicative subset of a ring R. A right ideal A of R is referred to as S-principal if there exist an element s∈S and a principal right ideal aR of R such that As⊆aR⊆A.
Jongwook Baeck
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On the rank decoding problem over finite principal ideal rings [PDF]
International Journal of Applied Mathematics and Computer Sciences, 2023 The rank decoding problem has been the subject of much attention in this last decade. This problem, which is at the base of the security of public-key cryptosystems based on rank metric codes, is traditionally studied over finite fields.
Hervé Talé Kalachi +1 more
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Short Principal Ideal Problem in multicubic fields
Journal of Mathematical Cryptology, 2020 One family of candidates to build a post-quantum cryptosystem upon relies on euclidean lattices. In order to make such cryptosystems more efficient, one can consider special lattices with an additional algebraic structure such as ideal lattices.
Lesavourey Andrea +2 more
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Ideal simple shear strengths of two HfNbTaTi-based quinary refractory multi-principal element alloys
APL Materials, 2022 Atomistic simulations are employed to investigate chemical short-range ordering in two body-centered cubic refractory multi-principal element alloys, HfMoNbTaTi and HfNbTaTiZr, and its influence on their ideal simple shear strengths.
Shuozhi Xu +2 more
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When is R[x] a principal ideal ring?
Revista Integración, 2018 Because of its interesting applications in coding theory, cryptography, and algebraic combinatoris, in recent decades a lot of attention has been paid to the algebraic structure of the ring of polynomials R[x], where R is a finite commutative ring with ...
Henry Chimal-Dzul, C. A. López-Andrade
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An algorithm for the principal ideal problem in indefinite quaternion algebras [PDF]
LMS J. Comput. Math., 2014 Deciding whether an ideal of a number field is principal and finding a generator is a fundamental problem with many applications in computational number theory.
Aurel Page
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A Baer-Kaplansky theorem for modules over principal ideal domains [PDF]
, 2015 We will prove that if $G$ and $H$ are modules over a principal ideal domain $R$ such that the endomorphism rings $\mathrm{End}_R(R\oplus G)$ and $\mathrm{End}_R(R\oplus H)$ are isomorphic then $G\cong H$. Conversely, if $R$ is a Dedekind domain such that
Simion Breaz
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MacWilliams' Extension Theorem for bi-invariant weights over finite principal ideal rings [PDF]
Journal of Combinatorial Theory, 2013 A finite ring R and a weight w on R satisfy the Extension Property if every R-linear w-isometry between two R-linear codes in R^n extends to a monomial transformation of R^n that preserves w.
M. Greferath +4 more
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Depth and regularity modulo a principal ideal [PDF]
Journal of Algebraic Combinatorics, 2018 Giulio Caviglia +5 more
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The Zagreb Coindices to the Zero Divisors Graph of Principal Ideal Local Rings
Al-Rafidain Journal of Computer Sciences and MathematicsAhmed S. Ismail, Husam Q. Mohammad
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