Results 111 to 120 of about 263 (155)

Yoneda extensions in abelian categories

Mathematische Annalen, 1964
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Cotorsion Pairs in Extensions of Abelian Categories

Bulletin of the Malaysian Mathematical Sciences Society
Let $\mathcal{B}$ be an abelian category with enough projective objects and enough injective objects and let $\mathcal{A}=\mathcal{B}\ltimes_η\mathsf{F}$ be an $η$-extension of $\mathcal{B}$. Given a cotorsion pair $(\mathcal{X},\;\mathcal{Y})$ in $\mathcal{B}$, we construct a cotorsion pair $(^{\perp}{\mathsf{U}^{-1}(\mathcal{Y})}, \mathsf{U}^{-1 ...
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On free abelian extensions

On free abelian extensions
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Abelian Extensions

2022
This chapter is based on (Canad J Math 23:857–865, 1971; Canad J Math 25:1113–1119, 1973) by R. L. Roth. Previous papers with some results on this subject include (J. Fac. Sci. Univ. Tokyo Sec. I 10:129–146, 1964) (Pacific J Math 32:119–129, 1970) by N. Iwahori – H. Matsumoto and G. J. Janusz, respectively. See also Sect.
Ceccherini-Silberstein T., Scarabotti F., Tolli F.   +2 more
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On Non-split Abelian Extensions

Bulletin of the Iranian Mathematical Society, 2020
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Noureddine Snanou, Mohammed Elhassani Charkani   +1 more
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ON THE ABELIAN EXTENSIONS OF LOCALLY COMPACT ABELIAN GROUPS

Mathematics of the USSR-Sbornik, 1982
The group of all abelian extensions of a compact abelian group by a discrete abelian group is calculated completely. Criteria are found for the vanishing of the group of all abelian extensions of a discrete abelian group by a compact one. Two criteria for the splitting of compact abelian groups are obtained.
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Abelian Extensions of Quantum Logics

International Journal of Theoretical Physics, 1998
Quantum structures like OMLs, OMPs, orthoalgebras, effect algebras may be regarded as cancellative, unital partial abelian semigroups (PAS). In the paper, it is shown that every cancellative, unital PAS is an extension of an effect algebra by an abelian group.
Feldman, David V., Wilce, Alexander
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Commutative ideal extensions of abelian groups

ACM SIGSAM Bulletin, 1999
An element \(x\) in a semigroup \(S\) is Archimedean if for every \(y\in S\) there exist a nonnegative integer \(k\) and \(z\in S\) such that \(kx=y+z\). A commutative semigroup \(E\) is an ideal extension of an Abelian group if and only if \(E\) has an element that is Archimedean and idempotent.
Juan Ignacio García-García, Pedro A. García-Sánchez, José Carlos Rosales   +2 more
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Distribution of Discriminants of Abelian Extensions

Proceedings of the London Mathematical Society, 1989
In this paper, class field theory is used to determine the distribution of the relative discriminants of all Galois extensions of a given global field k with Galois group isomorphic to a given finite abelian group G. In the case that the base field has characteristic \(p>0\), the results established assume that p does not divide the order of G.
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A note on abelian extensions

Wuhan University Journal of Natural Sciences, 2008
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Yu, Chuxiong, Fan, Yun
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