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In this work, the notion of a quantum inverse semigroup is introduced as a linearized generalization of inverse semigroups. Beyond the algebra of an inverse semigroup, which is the natural example of a quantum inverse semigroup, several…

Quantum Algebra · Mathematics 2023-04-03 Marcelo Muniz Alves , Eliezer Batista , Francielle Kuerten Boeing

In this paper, we define concept of approximate fixed point property of a function and a set in intuitionistic fuzzy normed space. Furthermore, we give intuitionistic fuzzy version of some class of maps used in fixed point theory and…

Functional Analysis · Mathematics 2015-09-10 Müzeyyen Ertürk , Vatan Karakaya , M. Mursaleem

Modeling relations between components of 3D objects is essential for many geometry editing tasks. Existing techniques commonly rely on labeled components, which requires substantial annotation effort and limits components to a dictionary of…

Graphics · Computer Science 2018-07-05 Minhyuk Sung , Anastasia Dubrovina , Vladimir G. Kim , Leonidas Guibas

By defining a fat point subscheme of $P^2$ to be a 0-dimensional subscheme defined by a sheaf of integrally closed ideals one extends the notion of fat point subschemes to allow infinitely near points. With this notion of fat points, this…

alg-geom · Mathematics 2009-09-25 Brian Harbourne

In this paper the concept of the extension of fuzzy h-ideals in one-sided $\Gamma$-hemiring is introduced and some of its properties are investigated. Specially we have studied the extension of prime fuzzy h-ideals in $\Gamma$-hemirings and…

General Mathematics · Mathematics 2011-12-25 Sujit Kumar Sardar , Debabrata Mandal

In this paper we relate minimal left ideals on Clifford algebras with special geometric structures in dimensions $6,7,$ and $8$.

Differential Geometry · Mathematics 2023-09-20 Ricardo Suarez

We consider approximately greater than relations on fuzzy sets and discuss their properties.

General Mathematics · Mathematics 2018-06-26 Huan Huang

Using a recently developed $\mathcal H$-calculus we propose a unified approach to the study of rational approximations of holomorphic semigroups on Banach spaces. We provide unified and simple proofs to a number of basic results on…

Functional Analysis · Mathematics 2024-03-26 Charles Batty , Alexander Gomilko , Yuri Tomilov

We postulate the intuitive idea of reducts of fuzzy contexts based on formal concept analysis and rough set theory. For a complete residuated lattice $L$, it is shown that reducts of $L$-contexts in formal concept analysis are…

Logic in Computer Science · Computer Science 2026-01-21 Yuxu Chen , Jing Liu , Lili Shen , Xiaoye Tang

In this paper, we study a special class of quasi-homomorphisms, i.e. quasi-retractions from a group to its subgroups. We first give some algebraic and geometric properties of quasi-retracts and then propose a theory of quasi-split short…

Group Theory · Mathematics 2025-08-21 Renxing Wan

In the first section of the present work, we introduce the concept of pseudocomplementation for semirings and show semiring version of some known results in lattice theory. We also introduce semirings with pc-functions and prove some…

Commutative Algebra · Mathematics 2018-04-17 Peyman Nasehpour

This paper presents a technique for viewing quasi-coherent sheaves of ideals of a given blowup as regular ideals of a ring. In the paper, we first describe (Zariski) models as integral schemes that are separated and of finite type over an…

Commutative Algebra · Mathematics 2024-12-30 Ayçin Iplikçi Arodirik

Using the concept of fuzzy field, we have considered the fuzzy field of real and complex numbers and thereafter we have established a few standard results of real and complex numbers with respect to a membership function.

General Mathematics · Mathematics 2008-05-07 T. K. Samanta

Quasitoposes encompass a wide range of structures, including various categories of graphs. They have proven to be a natural setting for reasoning about the metatheory of algebraic graph rewriting. In this paper we propose and motivate the…

Logic in Computer Science · Computer Science 2023-03-21 Aloïs Rosset , Roy Overbeek , Jörg Endrullis

In this paper, we introduce the notion of fuzzy soft numbers. Here defined fuzzy soft number and four arithmetic operations $ \tilde{+}, \tilde{-}, \tilde{\times}, \tilde{\div} $ and related properties. Also introduce Hausdorff distance,…

General Mathematics · Mathematics 2021-12-28 Manash Jyoti Borah , Bipan Hazarika

We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quasitrivial and order-preserving semigroups. We also determine…

Rings and Algebras · Mathematics 2019-05-10 Miguel Couceiro , Jimmy Devillet , Jean-Luc Marichal

In this work, new families of Buchsbaum rings, developed by mean of convex body semigroups, are presented. We characterize Buchsbaum circle and convex polygonal semigroups and describe algorithmic methods to check these characterizations.

Commutative Algebra · Mathematics 2014-10-20 J. I. García-García , A. Sánchez-R. -Navarro , A. Vigneron-Tenorio

This article focuses on the study of cut groups, i.e., the groups which have only trivial central units in their integral group ring. We provide state of art for cut groups. The results are compiled in a systematic manner and have also been…

Rings and Algebras · Mathematics 2025-05-15 Seema Chahal , Sugandha Maheshwary

This thesis is devoted to the study of Quantum Field Theories (QFT) on fuzzy spaces. Fuzzy spaces are approximations to the algebra of functions of a continuous space by a finite matrix algebra. In the limit of infinitely large matrices the…

High Energy Physics - Theory · Physics 2008-01-09 Julieta Medina

Good semigroups form a class of submonoids of $\mathbb{N}^d$ containing the value semigroups of curve singularities. In this article, we describe a partition of the complements of good semigroup ideals, having as main application the…

Combinatorics · Mathematics 2021-01-12 Lorenzo Guerrieri , Nicola Maugeri , Vincenzo Micale
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