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Fundamental Relation for Gas of Interacting Particles in a Heat Flow [PDF]

open access: yesEntropy, 2023
There is a long-standing question of whether it is possible to extend the formalism of equilibrium thermodynamics to the case of nonequilibrium systems in steady-states. We have made such an extension for an ideal gas in a heat flow.
Robert Hołyst   +4 more
doaj   +2 more sources

Fundamental Relation on HvBE-Algebras

open access: yesBulletin of the Section of Logic, 2023
In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation.
Farzad Iranmanesh   +2 more
doaj   +3 more sources

Fundamental Relation for the Ideal Gas in the Gravitational Field and Heat Flow [PDF]

open access: yesEntropy, 2023
We formulate the first law of global thermodynamics for stationary states of the ideal gas in the gravitational field subjected to heat flow. We map the non-uniform system (described by profiles of the density and temperature) onto the uniform one and ...
Robert Hołyst   +4 more
doaj   +2 more sources

The Gibbs Fundamental Relation as a Tool for Relativity [PDF]

open access: yesEntropy
When relativistic physics is lectured on, interest is focused on the behavior of mechanical and electromagnetic quantities during a reference frame change.
Friedrich Herrmann, Michael Pohlig
doaj   +2 more sources

Fundamental relation on m-idempotent hyperrings

open access: yesOpen Mathematics, 2017
The γ*-relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R/γ* is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called εm∗$\varepsilon^{*}_{m}
Norouzi Morteza, Cristea Irina
doaj   +4 more sources

Boolean Rings Based On Multirings [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2021
The purpose of this paper is to construct Boolean rings from multirings. In this regards, a method to construct a multigroup(multiring) on a given non-empty set, are introduced and its properties has been investigated.
Reza Ameri   +2 more
doaj   +1 more source

The Reducibility Concept in General Hyperrings

open access: yesMathematics, 2021
By using three equivalence relations, we characterize the behaviour of the elements in a hypercompositional structure. With respect to a hyperoperation, some elements play specific roles: their hypercomposition with all the elements of the carrier set ...
Irina Cristea, Milica Kankaraš
doaj   +1 more source

Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems

open access: yesMathematics, 2022
Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic application in some problems. Influenced by these mathematical notions,
Narjes Firouzkouhi   +3 more
doaj   +1 more source

A Survey on the Theory of n-Hypergroups

open access: yesMathematics, 2023
This paper presents a series of important results from the theory of n-hypergroups. Connections with binary relations and with lattices are presented. Special attention is paid to the fundamental relation and to the commutative fundamental relation.
Bijan Davvaz   +2 more
doaj   +1 more source

Auto-Engel Polygroups [PDF]

open access: yesMathematics Interdisciplinary Research, 2021
This paper introduces the concept of auto–Engel polygroups via the heart of hypergroups and investigates the relation between of auto–Engel polygroups and auto–nilpotent polygroups.
Ali Mosayebi-Dorcheh   +2 more
doaj   +1 more source

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