Results 61 to 70 of about 1,801,897 (347)
On radicals and polynomial rings
Portugaliae Mathematica, 2008 For any class \mathcal M of rings, it is shown that the class \mathcal E_ℓ(\mathcal M) of all rings each non-zero homomorphic image of which contains either a non ...
Tumurbat, Sodnomkhorloo +2 more
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Some Extensions of Generalized Morphic Rings and EM-rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true.
Ghanem Manal, Abu Osba Emad
doaj +1 more source
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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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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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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Idempotents and Units of Matrix Rings over Polynomial Rings
, 2017 The aim of this paper is to study idempotents and units in certain matrix rings over polynomial rings. More precisely, the conditions under which an element in $M_2(\mathbb{Z}_p[x])$ for any prime $p$, an element in $M_2(\mathbb{Z}_{2p}[x])$ for any odd ...
P. Kanwar, M. Khatkar, Rajneesh Sharma
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Radicals Of Polynomial Rings [PDF]
Canadian Journal of Mathematics, 1956 Introduction. Let R be a ring and let R[x] be the ring of all polynomials in a commutative indeterminate x over R. Let J(R) denote the Jacobson radical (5) of the ring R and let L(R) be the lower radical (4) of R. The main object of the present note is to determine the radicals J(R[x]) and L(R[x]).
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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj
Definability of linear equation systems over groups and rings [PDF]
Logical Methods in Computer Science, 2013 Motivated by the quest for a logic for PTIME and recent insights that the descriptive complexity of problems from linear algebra is a crucial aspect of this problem, we study the solvability of linear equation systems over finite groups and rings from ...
Anuj Dawar +4 more
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Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]
, 2014 The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li +5 more
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