A note on equalities of radicals in a semigroup
Biordered sets and complemented modular lattices.
Commutative semi-primary -semigroups
Correction to my paper: “Commutative semi-primary -semigroups”
Einige neue Resultate über abstrakte Halbgruppen
Hereditary radicals and 0-bands of semigroups.
Multiplicative closed maps on the set of S-subsets of an S-set.
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...
Note on the Set of Nilpotent Elements and on Radicals of Semigroups
On dedekind monoids.
On p-irreducible S-subsets of an S-set.
On Radicals in a Certain Class of Semigroups
On radicals in semigroups
On radicals of the semigroup of triangular matrices
On some type of radicals on a semigroup
Primary ideals in semigroups.
Pseudo-symmetric ideals of semigroup and their radicals
Radical decompositions of semiheaps
Semiheaps are ternary generalisations of involuted semigroups. The first kind of semiheaps studied were heaps, which correspond closely to groups. We apply the radical theory of varieties of idempotent algebras to varieties of idempotent semiheaps. The class of heaps is shown to be a radical class, as are two larger classes having no involuted semigroup counterparts. Radical decompositions of various classes of idempotent semiheaps are given. The results are applied to involuted I-semigroups, leading...
Radicals and their left ideal analogues in a semigroup
Radicals commuting with bands of semigroups.