On topology lattices of acts over right or left zero semigroups. (English. Russian original) Zbl 07915937
J. Math. Sci., New York 284, No. 4, 498-500 (2024); translation from Fundam. Prikl. Mat. 24, No. 4, 129-132 (2023).
In the paper the author has investigated all acts over right or left zero semigroups with modular topology lattice and has obtained a relevant necessary and sufficient condition. Further, he has focused here on acts over right zero semi groups with complemented topology lattice and has derived a bi-implicative condition regarding the corresponding lattice. Also, the paper contains an insightful and current reference list at the end.
Reviewer: Sanjib Kumar Datta (Kalyani)
MSC:
| 20M25 | Semigroup rings, multiplicative semigroups of rings |
| 08A50 | Word problems (aspects of algebraic structures) |
| 18A99 | General theory of categories and functors |
| 22A15 | Structure of topological semigroups |
| 22A26 | Topological semilattices, lattices and applications |
| 54A10 | Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) |
| 54H11 | Topological groups (topological aspects) |
Keywords:
right zero semi groups; left zero semi groups; modular topology lattice; complemented topology latticeReferences:
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