Results 31 to 40 of about 1,175 (227)

A note on primes of the form a2 + 1 [PDF]

, 2007
In this note I prove using an algebraic identity and Wilson's ...
Gonzalez, Juan Lopez
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SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]

, 2009
Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
core   +1 more source

On Characterization of Relatively Commutative Semigroups

Communications in Advanced Mathematical Sciences
This paper defines a novel semigroup construction, called a relatively commutative semigroup. A semigroup is called relatively commutative if there exist $k,r,t,s\in \mathbb{Z^{+}}$ and $x,y\in S$ such that $(ab)^{k}=b^{r}ax$ and $(ab)^{t}=yba^{s}$ for ...
Rasie Mekera, Didem Yeşil
doaj   +1 more source

On disjoint unions of finitely many copies of the free monogenic semigroup

, 2013
Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.Peer ...
Ruskuc, Nik, Abughazalah, Nabilah
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New models for some free algebras of small ranks

Karpatsʹkì Matematičnì Publìkacìï, 2023
Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
doaj   +1 more source

On weakly commutative peo-semigroups

Semigroup Forum, 1990
In this paper a partially ordered semigroup (S,\(\cdot,\leq)\) with greatest element e is called weakly commutative if for every a,b\(\in S\) there is \(n\in {\mathbb{N}}\) such that \((ab)^ n\leq bea\). The main result states that every such semigroup S is a semilattice of archimedean subsemigroups (where a subsemigroup T of S is archimedean if for ...
Kehayopulu, N., P., Kiriakuli, Hanumantha Rao, S., Lakshmi, P.   +3 more
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Automatic presentations for semigroups

, 2012
Special Issue: 2nd International Conference on Language and Automata Theory and Applications (LATA 2008)This paper applies the concept of FA-presentable structures to semigroups.
Cain, Alan James, Oliver, Graham, Ruskuc, Nik, Thomas, Richard M.   +3 more
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Non-commutative computer algebra and molecular computing [PDF]

Computer Science Journal of Moldova, 2001
Non-commutative calculations are considered from the molecular computing point of view. The main idea is that one can get more advantage in using molecular computing for non-commutative computer algebra compared with a commutative one.
Svetlana Cojocaru, Victor Ufnarovski
doaj  

On the Multiplicative Semigroup of a Commutative Ring [PDF]

Proceedings of the American Mathematical Society, 1959
This note establishes the theorem that a commutative ring is finite provided its multiplicative semigroup is finitely generated. The author does not know whether the assumption of commutativity is necessary for the truth of the theorem.
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Commutative semigroup cohomology

Communications in Algebra, 1991
Let \(S\) be a commutative semigroup. A Beck extension of \(S\) by an abelian group object \(A\) of a (comma) category \(\mathfrak L\) consists of a commutative semigroup \(C=(C,q)\) over \(S\), with \(q\) surjective, and for each \(T\in{\mathfrak L}\) a simply transitive abelian group action of \(\hbox{Hom}_{\mathfrak L}(T,A)\) on the set \(\hbox{Hom ...
openaire   +1 more source