-fuzzy ideals in BCI-algebras.
-fuzzy multiply positive implicative BCC-ideals of BCC-algebras.
T-categories and some representation theorems
Ternary spaces, media, and Chebyshev sets
Ternary structures and partial semigroups
The associativity equation revisited.
The axiomatic rank of the quasivariety of orderable groups is infinite.
The base-normed space of a unital group
The Bordalo order on a commutative ring
If is a commutative ring with identity and is defined by letting mean or , then is a partially ordered ring. Necessary and sufficient conditions on are given for to be a lattice, and conditions are given for it to be modular or distributive. The results are applied to the rings of integers mod for . In particular, if is reduced, then is a lattice iff is a weak Baer ring, and is a distributive lattice iff is a Boolean ring, , , or a four element field.
The Cantor Extension of a Lexicographic Product of -Groups
The Cauchy extension of an ordered abelian group realized by -valuations
The chain of right simple semigroups in ordered semigroups
The Chinese remainder theorem and sheaf representations
The dual space of a totally ordered abelian group
The duality between lattice-ordered monoids and ordered topological spaces.
The embedding of an ordered semigroup in a simple one with identity.
The Embedding of an Ordered Semigroup in an Ordered group via the Quotient Condition
The embedding of an ordered semigroup into an le-semigroup.
The epis of the category of ordered algebras and -continuous homomorphisms
The equivalence of Boolean prime ideal theorem and a theorem of functional analysis