Idempotent Subreducts of Semimodules over Commutative Semirings
Implication algebras
We introduce the concepts of pre-implication algebra and implication algebra based on orthosemilattices which generalize the concepts of implication algebra, orthoimplication algebra defined by J.C. Abbott [2] and orthomodular implication algebra introduced by the author with his collaborators. For our algebras we get new axiom systems compatible with that of an implication algebra. This unified approach enables us to compare the mentioned algebras and apply a unified treatment of congruence properties....
Implication and equivalential reducts of basic algebras
A term operation implication is introduced in a given basic algebra and properties of the implication reduct of are treated. We characterize such implication basic algebras and get congruence properties of the variety of these algebras. A term operation equivalence is introduced later and properties of this operation are described. It is shown how this operation is related with the induced partial order of and, if this partial order is linear, the algebra can be reconstructed by means of...
Incidence structures and closure spaces
Incidence structures of independent sets
Incidence structures of type
Every incidence structure (understood as a triple of sets , ) admits for every positive integer an incidence structure where () consists of all independent -element subsets in () and is determined by some bijections. In the paper such incidence structures are investigated the ’s of which have their incidence graphs of the simple join form. Some concrete illustrations are included with small sets and .
Inclusion properties of the intersection convolution of relations.
Independence of Equational Classes
Independence with respect to a family of mappings
Independence with respect to family of mappings in abstract algebras [Book]
Independent subalgebras of a general algebra
Induced algebras
Induced isomorphisms of certain ternary semigroups
Inequalities for a Pair of Maps S x S ... S with S a Finite Set.
Infinitary varieties of structures closed under the formation of complex structures
Infinite algebras with 3-transitive groups of weak automorphisms
The infinite algebras with 3-transitive groups of weak automorphisms are investigated. Among others it is shown that if an infinite algebra with 3-transitive group of weak automorphisms has a nontrivial idempotent polynomial operation then either it is locally functionally complete or it is polynomially equivalent to a vector space over the two element field or it is a simple algebra that is semi-affine with respect to an elementary 2-group. In the second and third cases the group of weak automorphisms...
Infinite tree algebras
Interpolation in congruence permutable algebras
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.