Stacked bases for modules over principal ideal domains

DOI10.1016/0021-8693(70)90097-9zbMath0191.32203OpenAlexW1966927158MaRDI QIDQ2537982

Herman Gluck, Joel M. Cohen

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0021-8693(70)90097-9

zbMATH Keywords

commutative algebra

Related Items

Stacked bases for modules ⋮ HOW TO USE ABELIAN GROUP THEORY FOR THE STUDY OF DIAGRAMS OVER LOCALLY WELL-ORDERED SETS ⋮ Global Azumaya theorems in additive categories ⋮ Remarks about the history of Abelian groups in England and Germany. ⋮ Direct Sums of Countably Generated Modules Over Complete Discrete Valuation Rings ⋮ Fully inert subgroups of free Abelian groups. ⋮ Decomposition of Graded Modules ⋮ Stacked decomposition theorem for modules over serial left Noetherian rings ⋮ STACKED BASES FOR HOMOGENEOUS COMPLETELY DECOMPOSABLE GROUPS ⋮ STACKED BASES FOR COUNTABLE HOMOGENEOUS COMPLETELY DECOMPOSABLE GROUPS ⋮ A category equivalence between homogeneous completely decomposable Abelian groups and modules over principal ideal domains ⋮ Representations over PID’s with three distinguished submodules ⋮ Valuated groups ⋮ Equivalence theorems ⋮ Aspherical 2-complexes ⋮ Stacked submodules of torsion modules over discrete valuation domains ⋮ Endomorphisms and product bases of the Baer-Specker group. ⋮ Generalized “stacked bases” theorem for modules over semiperfect rings ⋮ Classification of modules with two distinguished pure submodules and bounded quotients ⋮ Does the automorphism group generate the endomorphism ring in \(\text{Rep}(S,R)\)? ⋮ Generalizations of the Stacked Bases Theorem

Cites Work

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