Results 31 to 40 of about 18,021 (212)

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

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, Mendes, Deolinda Isabel C., Mekei, Abish   +2 more
openaire   +1 more source

Rings which are almost polynomial rings [PDF]

Transactions of the American Mathematical Society, 1972
If A is a commutative ring with identity and B is a unitary A -algebra, B is locally polynomial over A provided that for every prime
Eakin, Paul, Silver, James
openaire   +2 more sources

On Semiprime Noetherian PI-Rings

, 2000
Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
core   +1 more source

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]).
openaire   +1 more source

TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS

, 2010
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly　rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core   +1 more source

Computations in multivariate quaternionic polynomial ring [PDF]

, 2013
In this paper we study division algorithm and Grobner bases in the multivariate quaternionic polynomial ring.6813 ...
Đặng, Tuấn Hiệp
core   +1 more source

Borel-type presentation of the torus-equivariant quantum K-ring of flag manifolds of type C

Forum of Mathematics, Sigma
We give a presentation of the torus-equivariant (small) quantum K-ring of flag manifolds of type C as an explicit quotient of a Laurent polynomial ring; our presentation can be thought of as a quantization of the classical Borel presentation of the ...
Takafumi Kouno, Satoshi Naito
doaj   +1 more source

Method of restoring multivariable Boolean function from its derivative

Advanced Engineering Research, 2017
Introduction. Boolean functions of several variables are of paramount importance in the coding theory and cryptography. The compositions of these functions are used in a set of the symmetric cryptosystems; therewith, some error-control codes, such as ...
Alexander V. Mazurenko, Nadezhda S. Mogilevskaya   +1 more
doaj   +1 more source

On primitive ideals in graded rings

, 2008
Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A.
Smoktunowicz, Agata
core   +1 more source