On prime rings whose central closure is finitely generated
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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
Rings whose nilpotents form a multiplicative set
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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
A characterization of commutative rings whose maximal ideal spectrum is Noetherian
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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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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
Commutative rings whose ideal lattices are complemented
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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
On rings whose Jacobson radical coincides with upper nilradical
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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