The lattice of positive quasi-orders on a semigroup

DOI10.1007/BF02937332zbMath0878.20040MaRDI QIDQ1359987

Miroslav Ćirić, Stojan Bogdanović

Publication date: 8 January 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

lattices of idealssemilattice homomorphic imagescompletely semiprime ideals\(cm\)-property\(cpi\)-propertylattices of completely closed sublatticeslinear quasi-orderslower-potent quasi-ordersposets of positive quasi-orderspositive quasi-orders of semigroups

Mathematics Subject Classification ID

Partial orders, general (06A06) General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Representation theory of lattices (06B15) Semilattices (06A12)

Related Items

Using filters to describe congruences and band congruences of semigroups. ⋮ Theory of Constructive Semigroups with Apartness – Foundations, Development and Practice

Cites Work

• Paths in graphs and minimal \(\pi\)-sequences in semigroups
• A new approach to some greatest decompositions of semigroups
• Positive quasi-orders on semigroups
• Orthogonal sums of semigroups
• Note on the greatest semilattice decomposition of semigroups
• Remark on the smallest semilattice congruence
• Contributions to the theory of semi-groups, IV
• Quasi-orders, Generalized Archimedeaness and Semilattice Decompositions
• Minimal Sequences in Semigroups
• Semilattice Congruences Viewed from Quasi-Orders
• Semilattice decompositions of semigroups
• The maximal semilattice decomposition of a semigroup
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item