Results 21 to 30 of about 18,021 (212)
N $$ \mathcal{N} $$ = 4 SYM, (super)-polynomial rings and emergent quantum mechanical symmetries
Journal of High Energy Physics, 2023 The structure of half-BPS representations of psu(2, 2|4) leads to the definition of a super-polynomial ring R $$ \mathcal{R} $$ (8|8) which admits a realisation of psu(2, 2|4) in terms of differential operators on the super-ring.
Robert de Mello Koch, Sanjaye Ramgoolam
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, 2011 In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Oyebola O.Y. +2 more
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SMARANDACHE NEAR-RINGS AND THEIR GENERALIZATIONS [PDF]
, 2002 In this paper we study the Smarandache semi-near-ring and nearring, homomorphism, also the Anti-Smarandache semi-near-ring. We obtain some interesting results about them, give many examples, and pose some problems.
Vasantha Kandasamy, W.B.
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The invariant rings of the Sylow groups of GU(3,q2), GU(4,q2), Sp(4,q) and O+(4,q) in the natural characteristic [PDF]
, 2016 Let G be a Sylow p -subgroup of the unitary groups GU(3,q2)GU(3,q2), GU(4,q2)GU(4,q2), the symplectic group Sp(4,q)Sp(4,q) and, for q odd, the orthogonal group O+(4,q)O+(4,q).
Fleischmann, Peter +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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Decomposing symmetric powers of certain modular representations of cyclic groups [PDF]
, 2009 For a prime number p, we construct a generating set for the ring of invariants for the p+1 dimensional indecomposable modular representation of a cyclic group of order p^2.
David L. Wehlau +3 more
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On Polynomial Extensions Of Rings [PDF]
Canadian Journal of Mathematics, 1956 Let A be a commutative ring with unit element, and let A [x] be a ring of polynomials in an indeterminate x with coefficients in A. There are a number of well-known properties which A shares with A [x]. We shall state one of them in the following.
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On the Splitting Ring of a Polynomial [PDF]
Communications in Algebra, 2016 Let $f(Z)=Z^n-a_{1}Z^{n-1}+\cdots+(-1)^{n-1}a_{n-1}Z+(-1)^na_n$ be a monic polynomial with coefficients in a ring~$R$ with identity, not necessarily commutative. We study the ideal $I_f$ of $R[X_1,\dots,X_n]$ generated by $σ_i(X_1,\dots,X_n)-a_{i}$, where $σ_1,\dots,σ_n$ are the elementary symmetric polynomials, as well as the quotient ring $R[X_1 ...
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Journal of Mathematics, 2014 The concept of nil-symmetric rings has been introduced as a generalization of symmetric rings and a particular case of nil-semicommutative rings. A ring R is called right (left) nil-symmetric if, for a,b,c∈R, where a,b are nilpotent elements, abc=0 (cab=
Uday Shankar Chakraborty, Krishnendu Das
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A note on Jacobson rings and polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1989 As is well known, if R R is a ring in which every prime ideal is an intersection of primitive ideals, the same is true of
Ferrero, Miguel, Parmenter, Michael M.
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