On the decomposability of module extensions

DOI10.1080/00927879008823993zbMath0733.16004OpenAlexW2038928822MaRDI QIDQ3360337

Ernst Kleinert

Publication date: 1990

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879008823993

zbMATH Keywords

ordershort exact sequenceendomorphism ringdecompositions of modulesextensions of modulesHom-Ext sequencesS-decomposable

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

• Representations of cyclic groups in rings of integers. II
• On reducible and decomposable representations of orders.

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