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Author(s): 

Ameri R. | Afshar B.

Issue Info: 
  • Year: 

    2023
  • Volume: 

    4
  • Issue: 

    2
  • Pages: 

    123-130
Measures: 
  • Citations: 

    0
  • Views: 

    11
  • Downloads: 

    0
Abstract: 

We introduce a new regular RELATION δ on a given group G and show that δ is a congurence RELATION on G, with respect to module the commutator subgroup of G. Then we show that the effect of this RELATION on the FUNDAMENTAL RELATION β is equal to the FUNDAMENTAL RELATION γ, and we conclude that, if ρ is an arbitrary strongly regular RELATION on the hypergroup H, then the effect of δ on ρ, results in a strongly regular RELATION on H such that its quotient is an abelian group.

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Issue Info: 
  • Year: 

    2015
  • Volume: 

    46
Measures: 
  • Views: 

    116
  • Downloads: 

    153
Abstract: 

THE PURPOSE OF THIS NOTE IS THE STUDY OF SOME LATTICE PROPERTIES SUCH AS DISTRIBUTIVITY AND DUAL DISTRIBUTIVITY UNDER THE FUNDAMENTAL RELATION. ALSO, WE INVESTIGATE THE BEHAVIOR OF PRIME (RESP. IDEALS) FILTERS UNDER FUNDAMENTAL RELATION IN HYPERLATTICES. IN PARTICULAR, WE CONSTRUCT A ONE TO ONE CORRESPONDENCE BETWEEN THE PRIME (RESP. IDEALS) OF A HYPERLATTICEL CONTAINING WF, THE HEART OF L, AND THE PRIME (RESP. IDEALS) FILTERS OF THE FUNDAMENTAL LATTICE L\E*.

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Journal: 

FALSAFEH

Issue Info: 
  • Year: 

    2022
  • Volume: 

    20
  • Issue: 

    2
  • Pages: 

    57-72
Measures: 
  • Citations: 

    0
  • Views: 

    97
  • Downloads: 

    17
Abstract: 

Heidegger in Being and Time, following Kant, who considered transcendental logic as a condition for the possibility of empirical science, considers historicity as a transcendental condition of historiography. He turns the epistemological and methodological question of the historical sciences into an ontological question, that is, instead of asking “under what circumstances can the objectivity of the historical knowledge be confirmed? ” he asks, “what kind of existence Dasein have that allows him to care about himself and the world, and understand the meaning of his past? ” “And how is there such a thing as history at all? ” In order to understand the importance of historicity in the general outline of the book, we should consider its RELATION to the main question of the work, “What is the meaning of Being? ” Hence, this article pursues two goals, First, it tries to show the place of historicity in the whole work, in such a way that is clear how Heidegger first starts from the pre-theorical understanding of Dasein as “existence”, ang then moves toward the discovery of the main structure of existentials as “concern”, Then he introduces “temporality” as a transcendental structure of concern, And finally, it comes to this that the concrete form of temporality is “historicity”. The second goal of this article is to reinterpret this debate with regard to the question of “the meaning of Being”. In this regard, I try to explain that historicity, as a concrete form of temporality, shows the openness of Dasein as the scope of the emergence of the meaning of Being and beings is a close event, which has its beginning and end, as standing on the possibilities it is thrown to them and it takes from its heritage. From this point of view, Heidegger, following Kant’s tradition, considers meaning-giving as a finite process, but unlike Kant, who considered this finitude in terms of the dependence on sensory intuition of being in the world, and thus as the ontic, he considers it as an ontological. He Knows that it arose from the special way of existence of Dasein. Being and Time finally reaches the point that the meaning-giving process which, as the verb “temporalizing” and “hisoricizing” is expressed in trads of past, present, future, or in the other words, heritage, fate, destiny. So, historical finitude reveals the concrete form of temporal finitude. The terms of heritage, fate and destiny each confirm the finitude od Dasein, and in this way, the finitude of the meaning-giving event. In its powerlessness, Dasein in undertakes its heritage in an authentic way. Dasein cannot be its own foundation, but is thrown to its possibilities.

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Author(s): 

DAVAZ B.

Issue Info: 
  • Year: 

    2006
  • Volume: 

    1
  • Issue: 

    1
  • Pages: 

    25-31
Measures: 
  • Citations: 

    2
  • Views: 

    468
  • Downloads: 

    181
Abstract: 

In this paper, we consider the FUNDAMENTAL RELATION b* as the smallest equivalence RELATION on a playgroup P such that the quotient P/b*, the set of all equivalence classes, is a group. The quotient P/b* is called the FUNDAMENTAL group. We give some interesting results about the FUNDAMENTAL groups.

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Issue Info: 
  • Year: 

    2008
  • Volume: 

    32
  • Issue: 

    A3
  • Pages: 

    197-205
Measures: 
  • Citations: 

    0
  • Views: 

    775
  • Downloads: 

    305
Abstract: 

In this paper we consider a strongly regular RELATION q on hypermodules so that the quotient is a module (with abelian group) over a FUNDAMENTAL commutative ring. Also, we state necessary and sufficient conditions so that the RELATION q is transitive, and finally we prove that q is transitive on hypermodules.

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Author(s): 

LIU X. | CHEN L. | GE Y. | WU F. | SUN F.

Journal: 

Scientia Iranica

Issue Info: 
  • Year: 

    2012
  • Volume: 

    19
  • Issue: 

    4 (TRANSACTIONS B: MECHANICAL ENGINEERING)
  • Pages: 

    1124-1132
Measures: 
  • Citations: 

    0
  • Views: 

    333
  • Downloads: 

    257
Abstract: 

In this paper, an irreversible quantum Brayton heat engine cycle model composed of two isomagnetic processes and two irreversible adiabatic processes is established. The quantum heat engine works with non-interacting spin-1.2 systems and has multi-irreversibilities. By using detailed numerical examples, this paper gives the FUNDAMENTAL optimal RELATIONship of the quantum Brayton heat engine, in a general case and at high temperature limits, and analyzes the effects of internal friction and bypass heat leakage on the FUNDAMENTAL optimal RELATIONship. Comparisons of the power output versus efficiency characteristics among this spin quantum heat Brayton engine, a quantum spin Carnot heat engine and a Brayton heat engine working with a classical working medium, are made. Three special cases, such as the endoreversible case, the frictionless case and the case without bypass heat leakage, are discussed.

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Author(s): 

RASOULI S. | DAVVAZ B.

Issue Info: 
  • Year: 

    2018
  • Volume: 

    5
  • Issue: 

    1
  • Pages: 

    1-21
Measures: 
  • Citations: 

    0
  • Views: 

    208
  • Downloads: 

    80
Abstract: 

In this paper, by considering the notion of -hyperalgebras for an arbitrary signature  , we study the notions of regular and strongly regular RELATIONs on a -hyperalgebra, A. We show that each regular RELATION which contains a strongly regular RELATION is a strongly regular RELATION. Then we concentrate on the connection between the FUNDAMENTAL RELATION of A and the set of complete parts of A.

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Writer: 

HAMIDI M.

Issue Info: 
  • Year: 

    2014
  • Volume: 

    1
Measures: 
  • Views: 

    133
  • Downloads: 

    101
Abstract: 

THE PURPOSE OF THIS PAPER IS TO COMPUTING OF FUNDAMENTAL RELATIONS OF (GENERAL) HYPERGROUPS.IN THIS REGARDS FIRST WE STUDY SOME BASIC PROPERTIES OF FUNDAMENTAL RELATION OF HYPERGROUPS, THEN WE SHOW THAT ANY GIVEN GROUP IS ISOMORPHISM TO THE FUNDAMENTAL GROUP OF A NONTRIVIAL HYPERGROUP.ESPECIALLY ANY ABELIAN GROUP IS ISOMORPHIC TO A FUNDAMENTAL GROUP OF A COMMUTATIVE HYPERGROUP. FINALLY WE STUDY THE CONNECTIONS BETWEEN CATEGORIES OF HYPERGROUPS AND GROUPS VIA THE FUNDAMENTAL RELATION.

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Writer: 

HAMIDI M.

Issue Info: 
  • Year: 

    2015
  • Volume: 

    2
Measures: 
  • Views: 

    139
  • Downloads: 

    157
Abstract: 

THE PURPOSE OF THIS PAPER IS TO CONSTRUCT OF KRASNER HYPERRINGS VIA TO RINGS AND TO COMPUTE OF FUNDAMENTAL RELATIONS ON KRASNER HYPERRINGS. IN THIS REGARDS FIRST WE STUDY SOME BASIC PROPERTIES OF KRASNER HYPERRING, THEN WE SHOW THAT ANY GIVEN RING IS ISOMORPHISM TO KRASNER FUNDAMENTAL RING OF A NONTRIVIAL KRASNER HYPERRING. WE STUDY SOME PROPERTIES OF KRASNER HYPERRING AND PROVE THAT INFINITE KRASNER HYPERRINGS ARE PROPER.

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Writer: 

RASOULI SAEED

Issue Info: 
  • Year: 

    2013
  • Volume: 

    44
Measures: 
  • Views: 

    149
  • Downloads: 

    71
Abstract: 

IN THIS PAPER, BY CONSIDERING THE NOTION OF S-HYPERALGEBRAS FOR AN ARBITRARY SIGNATURE S WE STUDY THE COMPLETE PARTS OF A S -HYPERALGEBRA, A, WHICH ARE DENOTED BY COMP (A). IN FACT WE WILL SHOW THAT COMP (FORMULA) IS A BOOLEAN ALGEBRA.ALSO, WE STUDY THE CONNECTION BETWEEN THE FUNDAMENTAL RELATION OF A AND COMP (A).

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