Výsledky vyhledávání - "Jutta Hausen"

The maximal normal 𝑝-subgroup of the automorphism group of an abelian 𝑝-group

Publikováno v: Proceedings of the American Mathematical Society. 126:2525-2533

Let p p be a prime number and let G \,G\, be an abelian p p –group. Let Δ \Delta be the maximal normal p p –subgroup of Aut ⁡ G \operatorname {Aut}G and ζ \zeta the maximal p p –subgroup of its centre. Let t \mathbf {t} be the torsion radic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8f8cfbd6960ad29ba03106ab2267e7f9
https://doi.org/10.1090/s0002-9939-98-04496-7

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Centralizer near-rings that are rings

Autor: Jutta Hausen, Johnny A. Johnson

Publikováno v: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 59:173-183

Given an R-module M, the centralizer near-ring ℳR (M) is the set of all functions f: M → M with f(xr)= f(x)r for all x ∈ M and r∈R endowed with point-wise addition and composition of functions as multiplication. In general, ℳR(M) is not a r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f3a24e97cc0a7e42ef8e51faecb8aba6
https://doi.org/10.1017/s144678870003857x

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Nonsingular modules and 𝑅-homogeneous maps

Autor: Jutta Hausen, Ulrich Albrecht

Publikováno v: Proceedings of the American Mathematical Society. 123:2381-2389

A non-singular R-module M is a ray for the class of all non-singular modules if every R-homogeneous map from M into a non-singular module is additive. Every essential extension of a non-singular locally cyclic module is a ray. We investigate the stru

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c98c91bc5b35e8de478d6f9cf838d42b
https://doi.org/10.1090/s0002-9939-1995-1254828-7

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Most abelianp-groups are determined by the Jacobson radical of their endomorphism rings

Autor: Jutta Hausen, Phillip Schultz, Cheryl E. Praeger

Publikováno v: Mathematische Zeitschrift. 216:431-436

A celebrated theorem due to Baer and Kaplansky states that two abelian p-groups are isomorphic if (and only if) their endomorphism rings are isomorphic [B, K]. In fact, every isomorphism between their endomorphism rings is induced by an isomorphism b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e0833584faf995e55a942b11895c38e8
https://doi.org/10.1007/bf02572332

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Rings whose additive endomorphisms are ring endomorphisms

Autor: Manfred Dugas, Johnny A. Johnson, Jutta Hausen

Publikováno v: Bulletin of the Australian Mathematical Society. 45:91-103

A ring R is said to be an AE-ring if every endomorphism of its additive group R+ is a ring endomorphism. Clearly, the zero ring on any abelian group is an AE-ring. In a recent article, Birkenmeier and Heatherly characterised the so-called standard AE

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1caa7b90840d9002e27e054441a4db51
https://doi.org/10.1017/s0004972700037047

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Modules with the quasi-summand intersection property

Autor: Jutta Hausen, Ulrich Albrecht

Publikováno v: Bulletin of the Australian Mathematical Society. 44:189-201

Given a torsion-free abelian group G, a subgroup A of G is said to be a quasi-summand of G if nG ≤ A ⊕ B ≤ G for some subgroup B of G and some positive integer n. If the intersection of any two quasi-summands of G is a quasi-summand, then G is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d5597b8a3fb7d10c8a586a02cecf7d23
https://doi.org/10.1017/s0004972700029610

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