Izhakian, Zur and Knebusch, Manfred (2022) Amalgamation and extensions of summand absorbing modules over a semiring. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 21 (06): 2250124. ISSN 0219-4988, 1793-6829
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A submodule W of V is summand absorbing, if x + y is an element of W implies x is an element of W, y is an element of W for any x, y is an element of V. Such submodules often appear in modules over (additively) idempotent semirings, particularly in tropical algebra. This paper studies amalgamation and extensions of these submodules, and more generally of upper bound modules.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Semiring; lacking zero sums; direct sum decomposition; free (semi) module; projective (semi) module; indecomposable; semidirect complement; amalgamation; extension |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Manfred Knebusch |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Feb 2024 11:25 |
| Last Modified: | 15 Feb 2024 11:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57589 |
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