Results 201 to 210 of about 71,303 (219)

The structure of prime homogeneous ideals in graded amalgamated algebra along an ideal

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] and [Formula: see text] be two commutative rings graded by an arbitrary commutative monoid [Formula: see text], [Formula: see text] be a homogeneous ideal of [Formula: see text], and [Formula: see text] be a graded ring homomorphism. The amalgamation of [Formula: see text] with [Formula: see text] along [Formula: see text] with
Fatima-Zahra Guissi, Hwankoo Kim, Najib Mahdou   +2 more
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On strongly homogeneous prime ideals in a graded integral domain

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be a torsionless grading monoid and [Formula: see text] be a [Formula: see text]-graded integral domain. In this paper, we present basic properties and give a complete characterization of strongly homogeneous prime ideals of [Formula: see text].
Abdelkbir Riffi, Chahrazade Bakkari, Najib Mahdou   +2 more
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Prime ideals of graded rings and related matters

Communications in Algebra, 1990
Let R be a ring graded by an abelian group.We study prime ideals of R that are maximal for not containing nonzero homogeneous elements.Also prime ideals of the symmetric graded Martindale ring of quotients of R are investigated.The results are applied to study when R is a Jacobson ring in case R is a Z-graded ring or a group ring of a finitely ...
Miguel Ferrero, Eric Jespers, Edmund R. Puczylowski   +2 more
openaire   +1 more source

Prime ideals and radicals in semigroup-graded rings

Proceedings of the Edinburgh Mathematical Society, 1996
In this paper we study the ideal structure of the direct limit and direct sum (with a special multiplication) of a directed system of rings; this enables us to give descriptions of the prime ideals and radicals of semigroup rings and semigroup-graded rings.We show that the ideals in the direct limit correspond to certain families of ideals from the ...
Bell, Allen D., Stalder, Shubhangi S., Teply, Mark L.   +2 more
openaire   +1 more source

On prime ideals and radicals of polynomial rings and graded rings

Journal of Pure and Applied Algebra, 2014
All rings in this paper are associative but not necessarily with identity. For a given ring \(A\), the Brown-McCoy radical \(G(A)\) of \(A\) is the intersection of all ideals \(I\) of \(A\) such that the factor ring \(A/I\) is a simple ring with unity and the \(S\)-radical \(S(A)\) of \(A\) is the intersection of all ideals \(I\) of \(A\) such that the
Lee, P.-H., Puczyłowski, E. R.
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Prime and Primitive Ideals in Graded Deformations of Algebraic Quantum Groups at Roots of Unity

Algebras and Representation Theory, 2003
In this work, the author studies the prime and primitive ideals in twists of quantum function algebras at roots of unity.
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Prime ideals in strongly graded rings by polycyclic-by-finite groups

2016
Let \(R*G\) be a crossed product of the polycyclic-by-finite group \(G\) over the prime right Noetherian ring \(R\). In the reviewer's paper [Trans. Am. Math. Soc. 301, 737-759 (1987; Zbl 0619.16007)] the prime ideals of \(R*G\) disjoint from \(R\) were explicitly described in terms of the primes in a certain twisted group algebra.
Marubayashi, Hidetoshi, Miyamoto, Haruo
openaire   +3 more sources

On graded 1-absorbing prime submodules

Journal of Discrete Mathematical Sciences and Cryptography, 2023
Rashid Abu-Dawwas
exaly  

The homogeneous spectrum of a $$\mathbb Z_2$$-graded commutative ring

Beitrage Zur Algebra Und Geometrie, 2023
Mohamed Aqalmoun
exaly  

Graded Prime Submodules over Non-Commutative Rings

Vietnam Journal of Mathematics, 2018
Rashid Abu-Dawwas, Malik Bataineh
exaly