ON 2-PRIMAL ORE EXTENSIONS
From MaRDI portal
Publication:2755374
DOI10.1081/AGB-100002173zbMath1005.16027MaRDI QIDQ2755374
Publication date: 27 November 2002
Published in: Communications in Algebra (Search for Journal in Brave)
Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25)
Related Items
Symmetry on zero and idempotents, Unnamed Item, Unnamed Item, CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS, REVERSIBILITY OVER UPPER NILRADICALS, Reflexive ideals and reflexively closed subsets in rings, Reflexive Property of Rings, Rings Whose Nilpotent Elements form a Levitzki Radical Ring, On NI Skew Polynomial Rings, Nilpotent elements of skew Hurwitz series rings, Unnamed Item, A GENERALIZATION OF REDUCED RINGS, NILPOTENT ELEMENTS AND NIL-ARMENDARIZ PROPERTY OF MONOID RINGS, Unnamed Item, Unnamed Item, Unnamed Item, ON RINGS WHOSE RIGHT ANNIHILATORS ARE BOUNDED, Structure and topological conditions of NI rings., Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings., Gelfand Factor Rings and Weak Zariski Topologies, \(\pi\)-Armendariz rings relative to a monoid, ON NIL SKEW ARMENDARIZ RINGS, Unnamed Item, An alternative perspective on skew generalized power series rings, On NI and NJ skew PBW extensions, McCoy property and nilpotent elements of skew generalized power series rings, On rings whose Jacobson radical coincides with upper nilradical, Structure of annihilators of powers, On the condition that powers preserve noncentralness, On weak annihilators and nilpotent associated primes of skew PBW extensions, Study of skew inverse Laurent series rings, Nilpotent elements and nil-Armendariz property of skew generalized power series rings, A note on weakly nil-clean rings, A taxonomy of Dedekind-finite and reflexive rings, Some characterizations of 2-primal skew generalized power series rings, A taxonomy of 2-primal rings., \(\Sigma\)-semicommutative rings and their skew PBW extensions, Reflexive property on nil ideals, On nilpotent elements of ore extensions, Unnamed Item, ON THE UPPER NIL RADICAL FOR R-MODULES, Reflexive property restricted to nilpotents, ON REVERSIBILITY RELATED TO IDEMPOTENTS, Structure of NI rings related to centers, On Rings Whose Strongly Prime Ideals Are Completely Prime, Classification of nonsemicommutative rings, Rings whose nilpotents form a multiplicative set, Characterizations of certain Morita context rings, An approach to quasipolarity for rings along nilpotent elements, Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions, NIL-ARMENDARIZ RINGS AND UPPER NILRADICALS, One-sided duo property on nilpotents, ORE EXTENSIONS OF 2-PRIMAL RINGS, MAL'CEV–NEUMANN SERIES OVER ZIP AND WEAK ZIP RINGS, 2-PRIMAL MODULES, Extensions and topological conditions of NJ rings, A GENERALIZATION OF NIL-ARMENDARIZ RINGS, Some minimal rings related to 2-primal rings, A note on lower nil M-Armendariz rings, Unnamed Item, A characterization of 2-primal and NI rings over skew inverse Laurent series rings, Radicals of Ore Extension of Skew Armendariz Rings, ON NI AND QUASI-NI RINGS, REVERSIBILITY OVER PRIME RADICALS, INSERTION-OF-FACTORS-PROPERTY WITH FACTORS NILPOTENTS, Reflexive-nilpotents-property skewed by ring endomorphisms, Reflexivity with maximal ideal axes, RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT, Some results on skew Hurwitz series rings, Classical Quotient Rings and Ordinary Extensions of 2-Primal Rings, Unnamed Item, On Skew Power Serieswise Armendariz Rings, Reflexive property on rings with involution, McCoy property of Hurwitz series rings, Minimal prime ideals of skew PBW extensions over 2-primal compatible rings, ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS, On a ring property related to nilradicals, Rings which are duo on Zhou radical, On weak zero-clean rings, On Sums of Coefficients of Products of Polynomials, N-chained semigroups and -perspective modules and rings, Nilradicals of the unique product monoid rings
Cites Work
- Regularity conditions and the simplicity of prime factor rings
- Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
- Prime ideals in skew polynomial rings and quantized Weyl algebras
- A taxonomy of 2-primal rings.
- On rings whose prime radical contains all nilpotent elements of index two
- On Radicals of Skew Polynomial Rings of Derivation Type
- Skew polynomial rings over 2-primal rings
- Primeness, semiprimeness and prime radical of ore extensions
- Questions on 2-primal rings
- A characterization of minimal prime ideals