Abundant semigroups whose idempotents satisfy permutation identities.
Abundant semigroups with a medical idempotent.
Abundant semigroups with a multiplicative type A transversal.
Action of topological semigroups, invariant means, and fixed points
Actions of a noncompact semigroup with zero.
Actions of semilattices.
Addendum to "A survey of semigroups of continuous selfmaps" (with intro. by K. D. Magill).
Addendum to: Representations of inverse semigroups by one-to-one partial transformations of a set.
Addition molle et fonctions p-locales.
Addition of rational fuzzy quantities: Convolutive approach
Additional notes on continuity in semitopological semigroups.
Adjan's theorem and conjugacy in semigroups.
Adjoint regular rings.
Admissible transformations of measures.
Algebra in the superextensions of twinic groups [Book]
Algebraic analysis in structures with the Kaplansky-Jacobson property
In 1950 N. Jacobson proved that if u is an element of a ring with unit such that u has more than one right inverse, then it has infinitely many right inverses. He also mentioned that I. Kaplansky proved this in another way. Recently, K. P. Shum and Y. Q. Gao gave a new (non-constructive) proof of the Kaplansky-Jacobson theorem for monoids admitting a ring structure. We generalize that theorem to monoids without any ring structure and we show the consequences of the generalized Kaplansky-Jacobson...
Algebraic and combinatorial properties of products [Abstract of thesis]
Algebraic and graph-theoretic properties of infinite -posets
A -labeled -poset is an (at most) countable set, labeled in the set , equipped with partial orders. The collection of all -labeled -posets is naturally equipped with binary product operations and -ary product operations. Moreover, the -ary product operations give rise to
Algebraic and graph-theoretic properties of infinite n-posets
A Σ-labeled n-poset is an (at most) countable set, labeled in the set Σ, equipped with n partial orders. The collection of all Σ-labeled n-posets is naturally equipped with n binary product operations and nω-ary product operations. Moreover, the ω-ary product operations give rise to nω-power operations. We show that those Σ-labeled n-posets that can be generated from the singletons by the binary and ω-ary product operations form the free algebra on Σ in a variety axiomatizable by an infinite collection...
Algebraic approach to locally finite trees with one end
Let be an infinite locally finite tree. We say that has exactly one end, if in any two one-way infinite paths have a common rest (infinite subpath). The paper describes the structure of such trees and tries to formalize it by algebraic means, namely by means of acyclic monounary algebras or tree semilattices. In these algebraic structures the homomorpisms and direct products are considered and investigated with the aim of showing, whether they give algebras with the required properties. At...