Results 31 to 40 of about 167 (89)
The Cuntz semigroup of continuous functions into certain simple C*-algebras [PDF]
, 2011 Peer ...
AARON TIKUISIS, Tikuisis, A.
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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 $-monoids for short).
Kühr, Jan
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On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
On minimal presentations of numerical monoids
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 878-894, March 2025.Abstract We consider the classical problem of determining the largest possible cardinality of a minimal presentation of a numerical monoid with given embedding dimension and multiplicity. Very few values of this cardinality are known. In addressing this problem, we apply tools from Hilbert functions and free resolutions of artinian standard graded ...
Alessio Moscariello, Alessio Sammartano
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Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink
Complexity, Volume 2025, Issue 1, 2025.Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi +6 more
wiley +1 more source
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
Negation in bounded commutative $DR\ell$-monoids
, 2006 summary:The class of commutative dually residuated lattice ordered monoids ($DR\ell $-monoids) contains among others Abelian lattice ordered groups, algebras of Hájek’s Basic fuzzy logic and Brouwerian algebras.
Rachůnek, Jiří, Slezák, Vladimír
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Interior and closure operators on bounded residuated lattice ordered monoids [PDF]
, 2008 summary:$GMV$-algebras endowed with additive closure operators or with its duals-multiplicative interior operators (closure or interior $GMV$-algebras) were introduced as a non-commutative generalization of topological Boolean algebras. In the paper, the
Švrček, Filip
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Semidirect products of ordered semigroups [PDF]
, 2002 Semidirect product is a powerful tool for studying finite semigroups, and it has been used in the literature to give structure theorems and classification theorems, especially in the context of the lattice of varieties of finite semigroups. This study in
Weil, Pascal, Pin, Jean-Eric
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Aggregation operators on partially ordered sets and their categorical foundations [PDF]
, 2006 summary:In spite of increasing studies and investigations in the field of aggregation operators, there are two fundamental problems remaining unsolved: aggregation of $L$-fuzzy set-theoretic notions and their justification.
Demirci, Mustafa
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