scholarly journals Γ-group congruences on regularΓ-semigroups

1992 ◽  
Vol 15 (1) ◽  
pp. 103-106 ◽  
Author(s):  
A. Seth

In this paper aΓ-group congruence on a regularΓ-semigroup is defined, some equivalent expressions for anyΓ-group congruence on a regularΓ-semigroup and those for the leastΓ-group congruence in particular are given.

1961 ◽  
Vol 3 (4) ◽  
pp. 443-451
Author(s):  
André Bareau

The Tibetan term which is pronounced jisa and written spyi signifies literally terra commune or, like spyi, the principal or capital piece of land. The fact it is not to be found in the classical dictionaries of the Tibetan language, such as those of Sarat Chandra Das and Jäschke, seems to show that it is fairly recent. In these works the terms closest to it are spyi-tor and, better still, spyi-thog, which refer to a common fund or a common piece of property. These terms, too, appear to be relatively recent or at least exclusively Tibetan, for the dictionaries give no Sanskrit equivalent and they suggest that the terms belong solely to the dialects of Western Tibet. The Sanskrit terms corresponding to spyi would be sāmanyabhūmi and sādharanabhūmi in the first and most satisfactory sense, of common land, and agrabhūmi, murdhabhūmi and sirobhūmi in the second sense. But these do not occur in the dictionaries of classic Sanskrit, nor of Buddhist Sanskrit (Edgerton), nor of Pali. Nor were any equivalent expressions either developed in Chinese Buddhism or preserved through Chinese translations of Sanskrit terms. If any Indian or Chinese terms corresponding to the Tibetan spyi-sa existed, they obviously formed no part of the canonical or even of the paracanonical literary language of Indian or ancient Chinese Buddhism. It follows that if Indian or Chinese Buddhism had an institution resembling the Tibetan jisa, the Buddhist monks must have considered it to be foreign to their activities and in some way unworthy.


Author(s):  
Kaiyuan Wang ◽  
Allison Sullivan ◽  
Manos Koukoutos ◽  
Darko Marinov ◽  
Sarfraz Khurshid

1972 ◽  
Vol 4 (1) ◽  
pp. 173-176 ◽  
Author(s):  
Takayuki Tamura ◽  
B. Hamilton

2014 ◽  
Vol 144 (2) ◽  
pp. 407-415 ◽  
Author(s):  
M. Amini ◽  
H. Rahimi
Keyword(s):  

1973 ◽  
Vol 28 (3-4) ◽  
pp. 332-342
Author(s):  
Heinz Günter Becker

AbstractThe structure of the Bogoljubov -Valatin transformation and the HFB state is investigated by group-theoretical methods. A direct proof of the Bloch-Messiah factorization theorem shows that the second factor which contains the BCS part of the BV transformation can be chosen always real. An unitary representation of the Bogoljubov-Valatin group in the Fock space is constructed which allows to write down various equivalent expressions for the HFB state vector. The relation between the "unitary form" and the usual form of | HFB〉 is clarified using the "quasispin" concept in connection with a theorem about the factorization of the D(3) Lie group.


1992 ◽  
Vol 114 (3) ◽  
pp. 606-611 ◽  
Author(s):  
M. T. Hanson

This paper gives closed-form expressions in terms of elementary functions for the title problem of spherical Hertzian contact of elastic bodies possessing transverse isotropy. Traction in the contact region is also included in the form of Coulomb friction; thus the shear stress is proportional to the contact pressure. The present expressions derived here by integration of the point force Green’s functions are simpler and easier to apply than equivalent expressions which have previously been given.


Author(s):  
Klaus-Uwe Panther ◽  
Linda L. Thornburg

In this article we investigate correlations between semantically equivalent expressions (organized in manner scales according to the formal properties of length, prosodic prominence, and grammaticalization) and their varying potential to trigger a certain metonymic interpretation. We focus on manner scales of past ability as well as semantically and logically similar expressions relating to human character traits/dispositions and external circumstances. Using the concepts of strength of metonymic link and coercion, we show that shorter, prosodically weaker and more grammaticalized members in these manner scales more strongly trigger the potentiality for actuality metonymy than their longer, prosodically stronger, and less grammaticalized counterparts.


2019 ◽  
Vol 12 (3) ◽  
pp. 51-68
Author(s):  
Oleg Gutik ◽  
Anatolii Savchuk

In this paper we study the structure of the monoid Iℕn ∞ of  cofinite partial isometries of the n-th power of the set of positive integers ℕ with the usual metric for a positive integer n > 2. We describe the group of units and the subset of idempotents of the semigroup Iℕn ∞, the natural partial order and Green's relations on Iℕn ∞. In particular we show that the quotient semigroup Iℕn ∞/Cmg, where Cmg is the minimum group congruence on Iℕn ∞, is isomorphic to the symmetric group Sn and D = J in Iℕn ∞. Also, we prove that for any integer n ≥2 the semigroup Iℕn ∞  is isomorphic to the semidirect product Sn ×h(P∞(Nn); U) of the free semilattice with the unit (P∞(Nn); U)  by the symmetric group Sn.


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