Results 51 to 60 of about 18,021 (212)
On the coinvariants of modular representations of cyclic groups of prime order [PDF]
, 2006 We consider the ring of coinvariants for modular representations of cyclic groups of prime order. For all cases for which explicit generators for the ring of invariants are known, we give a reduced Gröbner basis for the Hilbert ideal and the ...
Shank, R. James, Sezer, Müfit
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Improved Ring LWR-Based Key Encapsulation Mechanism Using Cyclotomic Trinomials
IEEE Access, 2020 In the field of post-quantum cryptography, lattice-based cryptography has received the most noticeable attention. Most lattice-based cryptographic schemes are constructed based on the polynomial ring Rq = Zq[x]/f (x), using a cyclotomic polynomial f (x).
So Hyun Park +3 more
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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On the Ring-LWE and Polynomial-LWE problems [PDF]
, 2021 The Ring Learning With Errors problem (RLWE) comes in various forms. Vanilla RLWE is the decision dual-RLWE variant, consisting in distinguishing from uniform a distribution depending on a secret belonging to the dual O_K^vee of the ring of integers O_K ...
Miruna Rosca +2 more
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On commutativity of one-sided s-unital rings
International Journal of Mathematics and Mathematical Sciences, 1992 The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
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Polynomial Rings over Goldie Rings
Journal of Algebra, 2001 The authors construct for each finite field \(K\) a commutative Goldie \(K\)-algebra \(R\) such that the polynomial ring \(R[X]\) is not a Goldie ring.
Antoine, Ramon, Cedó, Ferran
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ACCP in Polynomial Rings: A Counterexample [PDF]
Proceedings of the American Mathematical Society, 1994 We describe an example showing that ACCP need not extend from a ring to a polynomial ring over it.
Heinzer, William J., Lantz, David C.
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The use of finite polynomial rings in the factorization of the general polynomial
, 1965 The problem of decomposing the general polynomial over the integers into its prime polynomial factors is solved by the use of congruential functions. The following principles are used: I.
Lloyd, Daniel B.
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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The dimension of the ring of coefficients in a polynomial ring [PDF]
Proceedings of the American Mathematical Society, 1975 A A and B B
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