The endomorphism ring of the additive group of a ring
From MaRDI portal
Publication:5673088
DOI10.1017/S1446788700012763zbMath0257.20037MaRDI QIDQ5673088
Publication date: 1973
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)
Related Items
Finite Rank Torsion-Free Abelian Groups Uniserial over their Endomorphism Rings, AA-Rings, On Abelian Groups Having All Proper Fully Invariant Subgroups Isomorphic, Self-Free Modules and E-Rings, Skeletons, bodies and generalized \(E(R)\)-algebras., Large localizations of finite groups., Torsion-free E-modules, The flat dimension of mixed abelian groups as \(E\)-modules, Classifying \(E\)-algebras over Dedekind domains., \(E(R)\)-algebras that are sharply transitive modules., Absolute \(E\)-rings, New examples of indecomposable torsion-free abelian groups of finite rank and rings on them, О КОЛЬЦЕВЫХ СТРУКТУРАХ НА МНОЖЕСТВЕ ЦЕЛЫХ ЧИСЕЛ, E-КОЛЬЦА МАЛЫХ РАНГОВ, Absolute \(E\)-modules, \( E \)-rings and quotient divisible abelian groups, Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules, \(\mathcal E\)-closed groups and modules., Torsion-free Abelian groups of finite rank projective as modules over their endomorphism rings, Two-sided E-rings., Rings whose multiplicative endomorphisms are power functions, Torsion-free nilpotent groups and E-modules, Endomorphism rings of faithfully flat Abelian groups, Each countable reduced torsion-free commutative ring is a pure subring of an e-ring, FLATNESS AND THE RING OF QUASI-ENDOMORPHISMS, Large \(E\)-modules exist, Modules over discrete valuation domains. III, SuperdecomposableE(R)-Algebras, Unnamed Item, \(E\)-rings as localizations of orders, ON THE TWO DEFINITIONS OF DEGREE OF A FUNCTION OVER AN ASSOCIATIVE, COMMUTATIVE RING, \(T\)-rings, Almost completely decomposable groups and rings., Sequences of endomorphism groups of abelian groups, Correlation between \(E\)-groups and properties of \(n\)-multiplications on abelian groups, Endomorphism rings of modules and lattices of submodules, Idempotent functors and localizations in categories of modules and Abelian groups., Abelian groups, MODULES WITH ABELIAN ENDOMORPHISM RINGS, $E$-algebras whose torsion part is not cyclic, Unital rings whose additive endomorphisms commute, Constructing sharply transitive R-modules of rank ⩽, Classifying E-Rings, AE-rings., Commutative semigroups whose endomorphisms are power functions, Self-Small Abelian Groups as Modules over Their Endomorphism Rings, \(sp\)-groups and their endomorphism rings, E-groups and E-rings, On solid and rigid monoids in monoidal categories, On a direct sum of irreducible groups., Large E-rings exist, E-transitive torsion-free Abelian groups, Faithful Abelian Groups of Infinite Rank, On Quasi-Regular Torsion-Free Modules, Duality and self-reflexive torsion-free Abelian groups, Carriers of torsion-free groups
Cites Work