Natural definition of entropy of semigroups
Naturally Orderd Transformation Semigroups.
ndependence of axioms for biordered sets.
Near heaps
On any involuted semigroup , define the ternary operation for all . The resulting ternary algebra satisfies the para-associativity law , which defines the variety of semiheaps. Important subvarieties include generalised heaps, which arise from inverse semigroups, and heaps, which arise from groups. We consider the intermediate variety of near heaps, defined by the additional laws and . Every Clifford semigroup is a near heap when viewed as a semiheap, and we show that the Clifford semigroup...
Near-rings of continuous functions on compact abelian groups.
Necessary conditions for a semigroup to be an integral CRM-ring with identity.
New semigroups of binary relations.
Nil right ideals in inverse semigroup algebras.
Nil-extensions of completely simple semirings
A semiring S is said to be a quasi completely regular semiring if for any a ∈ S there exists a positive integer n such that na is completely regular. The present paper is devoted to the study of completely Archimedean semirings. We show that a semiring S is a completely Archimedean semiring if and only if it is a nil-extension of a completely simple semiring. This result extends the crucial structure theorem of completely Archimedean semigroup.
Nil-extensions of unions of groups induced by identities.
Nil-orders of commutative nil-bounded semigroups.
Nilpotency in semigroups and sublattices of their Booleans
Nilpotents in semigroups of partial one-to-one order-preserving mappings.
Nilsemigroups on trees.
No semigroup is a finite union of mutants.
Noble inverse semigroups with bisimple core.
Noncommutative analogs of symmetric polynomials
Noncommutative Cartan subalgebras of C*-algebras.
Non-idempotent left symmetric left distributive groupoids.
Non-isomorphic semigroups with isomorphic semigroups of subsets.