Izhakian, Zur and Knebusch, Manfred (2023) Archimedean classes in additive monoids. JOURNAL OF ALGEBRA AND ITS APPLICATIONS. ISSN 0219-4988, 1793-6829
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Summand absorbing submodules are common in modules over (additively) idempotent semirings, for example, in tropical algebra. 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. This paper proceeds the study of these submodules, and more generally of additive monoids, with emphasis on their archimedean classes and quotient structures.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUADRATIC-FORMS; MODULES; Additive monoid; semiring; module; lacking zero sums; summand absorbing; indecomposable; archimedean quasiordering; archimedean class; convex hull; decomposition; flock; height function |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Manfred Knebusch |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2024 07:10 |
| Last Modified: | 20 Mar 2024 07:10 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59826 |
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