Results 41 to 50 of about 142 (106)
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Let N,Z, and Q be the sets of natural, integers, and rational numbers, respectively. Our objective, involving a predetermined positive integer a, is to study a characterization of Diophantine equations of the form a + y2 = z2. Building on this result, we aim to obtain a characterization for Pythagorean n‐tuples.
Roberto Amato, Anwar Saleh Alwardi
wiley +1 more source
On the diameter of semigroups of transformations and partitions
Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.Abstract For a semigroup S$S$ whose universal right congruence is finitely generated (or, equivalently, a semigroup satisfying the homological finiteness property of being type right‐FP1$FP_1$), the right diameter of S$S$ is a parameter that expresses how ‘far apart’ elements of S$S$ can be from each other, in a certain sense.
James East +4 more
wiley +1 more source
Positive varieties of tree languages [PDF]
, 2005 Pin's variety theorem for positive varieties of string languages and varieties of finite ordered semigroups is proved for trees, i.e., a bijective correspondence between positive varieties of tree languages and varieties of finite ordered algebras is ...
Petković, Tatjana, Salehi, Saeed
core +1 more source
Characterizing Topologically Dense Injective Acts and Their Monoid Connections
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we explore the concept of topologically dense injectivity of monoid acts. It is shown that topologically dense injective acts constitute a class strictly larger than the class of ordinary injective ones. We determine a number of acts satisfying topologically dense injectivity.
Masoomeh Hezarjaribi Dastaki +3 more
wiley +1 more source
Remarks on ideals in lower-bounded dually residuated lattice-ordered monoids [PDF]
, 2004 summary:Lattice-ordered groups, as well as $GMV$-algebras (pseudo $MV$-algebras), are both particular cases of dually residuated lattice-ordered monoids ($DR\ell $-monoids for short).
Kühr, Jan
core
Morita equivalence for partially ordered monoids and po-Γ-semigroups with unities [PDF]
, 2014 We prove that operator pomonoids of a po-Γ-semigroup with unities are Morita equivalent pomonoids. Conversely, we show that if L and R are Morita equivalent pomonoids then a po-Γ-semigroup A with unities can be constructed such that left and right ...
Sardar, S.K., Gupta, S.
core +5 more sources
Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
Journal of Mathematics, Volume 2024, Issue 1, 2024.The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah +2 more
wiley +1 more source
The Wreath Product Principle for Ordered Semigroups [PDF]
, 2000 Straubing's wreath product principle provides a description of the languages recognized by the wreath product of two monoids. A similar principle for ordered semigroups is given in this paper.
Pascal Weil, L Laa, Jean-Eric Pin
core
On the Partially Ordered Monoid Generated by the Operators H, S, P, Ps on Classes of Algebras [PDF]
, 2001 Let H, S, P be the standard operators on classes of algebras of the same type and Ps be the operator of closure under subdirect products. In this paper the monoid generated by class operators H, S, P, Ps and the corresponding partially ordered set are ...
Tasić, Boža
core +1 more source
Semigroup ForumAbstract With every reduced E -Fountain semigroup S which satisfies the generalized right ample condition we associate a category with zero morphisms $$\mathcal {C}(S)$
openaire +2 more sources