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Lattices and quantales of ideals of semigroups and their preservation under Morita contexts by Valdis Laan; László Márki; Ülo Reimaa is a Computer Science article available to read on EtoBox.
What is Lattices and quantales of ideals of semigroups and their preservation under Morita contexts about?
## Abstract We study properties of the lattice of unitary ideals of a semigroup. In particular, we show that it is a quantale. We prove that if two semigroups are connected by an acceptable Morita context then there is an isomorphism between the quantales of unitary ideals of these semigroups. Moreover, factorisable ideals corresponding to each other under this isomorphism are strongly Morita equivalent.
Who reads Lattices and quantales of ideals of semigroups and their preservation under Morita contexts?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Valdis Laan; László Márki; Ülo Reimaa
- Publisher
- Springer Science and Business Media LLC
- Published
- 2020
- Language
- EN
- Field
- Computer Science (Physical Sciences)