Results 31 to 40 of about 1,450 (155)
Morita contexts and unitary ideals of rings [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we study Morita contexts between rings without identity. We prove that if two associative rings are connected by a Morita context with surjective mappings, then these rings have isomorphic quantales of unitary ideals.
Kristo Väljako, Valdis Laan
doaj +1 more source
A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah +2 more
wiley +1 more source
[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
wiley +1 more source
Soft Relations Applied to the Substructures of Quantale Module and Their Approximation
Complexity, Volume 2022, Issue 1, 2022., 2022 This research article offers a study on a new relation of rough sets and soft sets with an algebraic structure quantale module by using soft reflexive and soft compatible relations. The lower approximation and upper approximation of subsets of quantale module are utilized by aftersets and foresets.
Saqib Mazher Qurashi +5 more
wiley +1 more source
The Lattice Structures of Approximation Operators Based on L‐Fuzzy Generalized Neighborhood Systems
Complexity, Volume 2021, Issue 1, 2021., 2021 Following the idea of L‐fuzzy generalized neighborhood systems as introduced by Zhao et al., we will give the join‐complete lattice structures of lower and upper approximation operators based on L‐fuzzy generalized neighborhood systems. In particular, as special approximation operators based on L‐fuzzy generalized neighborhood systems, we will give the
Qiao-Ling Song +6 more
wiley +1 more source
Robustness in Metric Spaces over Continuous Quantales and the Hausdorff-Smyth Monad [PDF]
International Colloquium on Theoretical Aspects of Computing, 2023 Generalized metric spaces are obtained by weakening the requirements (e.g., symmetry) on the distance function and by allowing it to take values in structures (e.g., quantales) that are more general than the set of non-negative real numbers.
Francesco Dagnino +2 more
semanticscholar +1 more source
Letters in Applied Microbiology, 2000 Quantal microbiology describes a similarity between physics and microbiology. In both sciences there is an apparent dichotomy between the certainty and stability of the macro-subject and the uncertainty/complexity of the individual atom/cell. Classical physics is to quantum mechanics as classical microbiology is to quantal microbiology.
E Y, Bridson, G W, Gould
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Injective hulls for posemigroups; pp. 372–378 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 We show that injectives with respect to a specific class of order embeddings in the category of posemigroups with submultiplicative morphisms are quantales and construct injective hulls for a certain class of posemigroups with respect to this specific ...
Xia Zhang, Valdis Laan
doaj +1 more source
Morita contexts, ideals, and congruences for semirings with local units; pp. 252–259 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 We consider Morita contexts for semirings that have certain local units but not necessarily an identity element. We show that the existence of a Morita context with unitary bisemimodules and surjective maps implies that the two semirings involved have ...
Laur Tooming
doaj +1 more source
Girard Couples of Quantales [PDF]
Applied Categorical Structures, 2008 We introduce the concept of a Girard couple, which consists of two (not necessarily unital) quantales linked by a strong form of duality. The two basic examples of Girard couples arise in the study of endomorphism quantales and of the spectra of operator algebras.
Jeffrey M. Egger, David Kruml
openaire +2 more sources