Results 11 to 20 of about 12,496 (147)
Noetherian and Artinian ordered groupoids—semigroups
Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959.
Niovi Kehayopulu, Michael Tsingelis
doaj +1 more source
Large Aperiodic Semigroups [PDF]
The syntactic complexity of a regular language is the size of its syntactic semigroup. This semigroup is isomorphic to the transition semigroup of the minimal deterministic finite automaton accepting the language, that is, to the semigroup generated by ...
A. Kisielewicz +11 more
core +3 more sources
Reaching the minimum ideal in a finite semigroup [PDF]
We introduce the depth parameters of a finite semigroup, which measure how hard it is to produce an element in the minimum ideal when we consider generating sets satisfying some minimality conditions.
Karimi, Nasim
core +2 more sources
A note on the Howson property in inverse semigroups [PDF]
An algebra has the Howson property if the intersection of any two finitely generated subalgebras is finitely generated. A simple necessary and sufficient condition is given for the Howson property to hold on an inverse semigroup with finitely many ...
Jones, Peter R.
core +3 more sources
Cross-connection structure of locally inverse semigroups [PDF]
Locally inverse semigroups are regular semigroups whose idempotents form pseudo-semilattices. In this article, we describe the structure of locally inverse semigroups using Nambooripad's cross-connection theory. We characterise the categories involved as
P. A. A. Muhammed +2 more
semanticscholar +1 more source
Separating Regular Languages with First-Order Logic [PDF]
Given two languages, a separator is a third language that contains the first one and is disjoint from the second one. We investigate the following decision problem: given two regular input languages of finite words, decide whether there exists a first ...
Place, Thomas, Zeitoun, Marc
core +5 more sources
Axioms for unary semigroups via division operations [PDF]
When a semigroup has a unary operation, it is possible to define two bin ary operations, namely, left and right division. In addition it is well known that groups can be defined in terms of those two divisions.
Araújo, João, Kinyon, Michael
core +1 more source
Cross-connections and variants of the full transformation semigroup [PDF]
Cross-connection theory propounded by K. S. S. Nambooripad describes the ideal structure of a regular semigroup using the categories of principal left (right) ideals.
Muhammed, P. A. Azeef
core +1 more source
Some results on $$\mathcal {L}$$-commutative semigroups
We prove first that every $$\mathcal {H}$$-commutative semigroup is stable. Using this result [and some results from the standard text (Nagy, Special classes of semigroups, Kluwer, Dordrecht, 2001)], we give two equivalent conditions for a semigroup to ...
Roman S. Gigoń
semanticscholar +1 more source
Four notions of conjugacy for abstract semigroups [PDF]
The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been many attempts to find notions of conjugacy in semigroups that would be useful in special classes of ...
J. Araújo +3 more
semanticscholar +1 more source

