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   Articles with "rings whose" as a keyword



On prime rings whose central closure is finitely generated

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recommendations! Published in 2017 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2017.06.021

Abstract: Abstract The purpose of the paper is to study prime rings R such that the central closure RC is a simple ring with 1 and it is finitely generated over R by elements of the… read more here.

Keywords: prime rings; closure; finitely generated; whose central ... See more keywords
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Rings whose nilpotents form a multiplicative set

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recommendations! Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2017.1407426

Abstract: ABSTRACT Nilpotents in Armendariz and abelian π-regular rings are multiplicatively closed. However, this fact need not hold in many kinds of rings. This article concerns a class of rings whose nilpotents are closed under multiplication.… read more here.

Keywords: form multiplicative; nilpotent closed; nilpotents form; multiplicative set ... See more keywords

On rings all of whose right ideals are automorphism-invariant

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recommendations! Published in 2025 at "Communications in Algebra"

DOI: 10.1080/00927872.2024.2447493

Abstract: Abstract Rings all of whose right ideals are automorphism-invariant are called right a-rings. It is shown that (1) local right a-rings are left duo, (2) local rings whose left ideals of R are invariant under… read more here.

Keywords: ideals automorphism; whose right; rings whose; right ring ... See more keywords
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A characterization of commutative rings whose maximal ideal spectrum is Noetherian

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recommendations! Published in 2018 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498818500032

Abstract: An ideal I of a ring R is called pseudo-irreducible if I cannot be written as an intersection of two comaximal proper ideals of R. In this paper, it is shown that the maximal spectrum… read more here.

Keywords: commutative rings; ideal; spectrum noetherian; rings whose ... See more keywords

Finite Unitary Rings all of Whose Groups of Units of all their Subrings Except of the Ring Itself are Solvable

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recommendations! Published in 2023 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498824502025

Abstract: Let R be a finite unitary ring whose group of units is not solvable but all groups of units of all its proper subrings are solvable. In this paper we classify these rings and show… read more here.

Keywords: groups units; finite unitary; rings whose; whose groups ... See more keywords

Rings Whose Non-Invertible Elements are Strongly Weakly Nil-Clean

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recommendations! Published in 2025 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498827500617

Abstract: The target of the present work is to give a new insight in the theory of strongly weakly nil-clean rings, recently defined by Kosan and Zhou in the Front. Math. China (2016) and further explored… read more here.

Keywords: whose non; rings whose; strongly weakly; weakly nil ... See more keywords

Commutative rings whose ideal lattices are complemented

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recommendations! Published in 2019 at "Asian-European Journal of Mathematics"

DOI: 10.1142/s1793557119500396

Abstract: We characterize those commutative rings [Formula: see text] whose ideal lattice [Formula: see text] endowed with the annihilation operation is an ortholattice. Moreover, we provide an analogous characterization for the annihilator lattice [Formula: see text]… read more here.

Keywords: whose ideal; commutative rings; rings whose; formula see ... See more keywords

Coweakly Uniserial Modules and Rings Whose (2‐Generated) Modules Are Coweakly Uniserial

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recommendations! Published in 2025 at "Journal of Mathematics"

DOI: 10.1155/jom/5057559

Abstract: A module is called weakly uniserial if for any two its submodules at least one of them is embedded in the other. This is a nontrivial generalization of uniserial modules and rings. Here, we introduce… read more here.

Keywords: module; rings whose; uniserial modules; modules rings ... See more keywords

Rings Whose Nilpotent Elements Form a Wedderburn Radical Subring

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recommendations! Published in 2025 at "Symmetry"

DOI: 10.3390/sym17111815

Abstract: We introduce and study a class of rings, which we call NRW rings, distinguished by the condition that the set of nilpotent elements forms a Wedderburn radical subring. This class includes symmetric and semicommutative rings,… read more here.

Keywords: rings whose; nrw ring; nilpotent elements; whose nilpotent ... See more keywords

On rings whose Jacobson radical coincides with upper nilradical

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recommendations! Published in 2021 at "Turkish Journal of Mathematics"

DOI: 10.3906/mat-2012-30

Abstract: We call a ring R is JN if whose Jacobson radical coincides with upper nilradical, and R is right SR if each element r ∈ R can be written as r = s+r where s… read more here.

Keywords: coincides upper; jacobson radical; upper nilradical; rings whose ... See more keywords