Intersection Graphs of Set Families Closed under Intersection and Satisfying the Descending Chain Condition
Intervals in partial monounary algebras
In this paper the notion of an interval in a partial monounary algebra is introduced and pairs , of partial monounary algebras are investigated such that each interval in is also an interval in , and conversely.
Introduction à la théorie axiomatique des structures.
Introduction to coalgebra.
Invariance groups of finite functions and orbit equivalence of permutation groups
Which subgroups of the symmetric group Sn arise as invariance groups of n-variable functions defined on a k-element domain? It appears that the higher the difference n-k, the more difficult it is to answer this question. For k ≤ n, the answer is easy: all subgroups of Sn are invariance groups. We give a complete answer in the cases k = n-1 and k = n-2, and we also give a partial answer in the general case: we describe invariance groups when n is much larger than n-k. The proof utilizes Galois connections...
Invariants of the rational equivalence.
Inverse semigroup varieties with the amalgamation property.
Inverse semirings and their lattice of congruences
Irreducible Belousov equations on quasigroups
Isomorphic algebraic pre-closures and equivalent set-systems
Isomorphisms of products of infinite connected graphs
Isotone analogs of results by Mal'tsev and Rosenberg.
Isotopy invariant quasigroup identities
According to S. Krstić, there are only four quadratic varieties which are closed under isotopy. We give a simple procedure generating quadratic identities and deciding which of the four varieties they define. There are about 37000 such identities with up to five variables.
Iterative nondeterministic algebras
Join-closed and meet-closed subsets in complete lattices
To every subset of a complete lattice we assign subsets , and define join-closed and meet-closed sets in . Some properties of such sets are proved. Join- and meet-closed sets in power-set lattices are characterized. The connections about join-independent (meet-independent) and join-closed (meet-closed) subsets are also presented in this paper.
Joins and meets of congruences on a regular semigroup.
Joins of congruences in -groups
Jónsson's lemma for normally presented varieties
k-ary monoids of term operations.
Kernels of tolerance relations.