scholarly journals Sets of operations in relation to groups of finite order

1899 ◽  
Vol 64 (402-411) ◽  
pp. 319-320 ◽  
Keyword(s):  
General Theory ◽  
Finite Order ◽  
Universal Algebra ◽  
Symbolic Logic ◽  
General Object ◽  
Special Algebra

The present paper is concerned with the Theory of Groups of Finite Orders. The more general object of the paper is to place this theory in relation to a special algebra of the type considered in the general theory of Universal Algebra. This special algebra, which may be called the Algebra of Groups of Finite Order, has many affinities to the Algebra of Symbolic Logic; and a comparison of it with this algebra is given in the last section of this paper.

scholarly journals Formulae for well formed formulae and their enumeration

1974 ◽  
Vol 17 (2) ◽  
pp. 154-162 ◽  
Author(s):  
Dov Tamari
Keyword(s):  
Universal Algebra ◽  
General Idea ◽  
Symbolic Logic

1. General Idea. In this paper formal operators and bracketings devices are essentially the same; so are well formed formulae and correct bracketings.A well known theorem of symbolic logic (Post languages, etc.) and universal algebra characterizes well formed formulae among (linear) strings of symbols for variables and operators in terms of a system of numerical inequalities, one of them an equality.

L-fuzzy cosets in universal algebras

2021 ◽  
Vol 71 (3) ◽  
pp. 573-594
Author(s):  
Gezahagne Mulat Addis
Keyword(s):  
General Theory ◽  
Universal Algebra ◽  
Fuzzy Set ◽  
Fuzzy Systems ◽  
Algebraic Closure ◽  
Sufficient Conditions ◽  
General Context ◽  
Variety Of Algebras ◽  
Universal Algebras ◽  
Necessary And Sufficient

Abstract In this paper, we introduce the notion of fuzzy costs in a more general context, in universal algebra by the use of coset terms. We study the structure of fuzzy cosets by applying the general theory of algebraic fuzzy systems. Fuzzy cosets generated by a fuzzy set are characterized in different ways. It is also proved that the class of fuzzy cosets determined by an element forms an algebraic closure fuzzy set system. Finally, we give a set of necessary and sufficient conditions for a given variety of algebras to be congruence permutable by applying the theory of fuzzy cosets.

The quasi-strict topology on the space of quasi-multipliers of a B*-algebra

1987 ◽  
Vol 101 (3) ◽  
pp. 555-566 ◽  
Author(s):  
M. S. Kassem ◽  
K. Rowlands
Keyword(s):  
General Theory ◽  
Banach Algebra ◽  
A Priori ◽  
Banach Algebras ◽  
Approximate Identity ◽  
Strict Topology ◽  
General Object ◽  
Locally Convex Topology ◽  
Locally Convex ◽  
Special Case

The notion of a left (right, double) multiplier may be regarded as a generalization of the concept of a multiplier to a non-commutative Banach algebra. Each of these is a special case of a more general object, namely that of a quasi-multiplier. The idea of a quasi-multiplier was first introduced by Akemann and Pedersen in ([1], §4), where they consider the quasi-multipliers of a C*-algebra. One of the defects of quasi-multipliers is that, at least a priori, there does not appear to be a way of multiplying them together. The general theory of quasi-multipliers of a Banach algebra A with an approximate identity was developed by McKennon in [5], and in particular he showed that the quasi-multipliers of a considerable class of Banach algebras could be multiplied. McKennon also introduced a locally convex topology γ on the space QM(A) of quasi-multipliers of A and derived some of the elementary properties of (QM(A), γ).

Subharmonic functions of finite order in a cone. I (general theory)

1992 ◽  
Vol 58 (4) ◽  
pp. 347-358 ◽  
Author(s):  
A. Yu. Rashkovskii ◽  
L. I. Ronkin
Keyword(s):  
General Theory ◽  
Finite Order ◽  
Subharmonic Functions

Subharmonic functions of finite order in a cone. II (General theory)

1992 ◽  
Vol 59 (1) ◽  
pp. 616-622
Author(s):  
A. Yu. Rashkovskii ◽  
L. I. Ronkin
Keyword(s):  
General Theory ◽  
Finite Order ◽  
Subharmonic Functions

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey
Keyword(s):  
General Theory ◽  
Biological Markers ◽  
Natural Environment ◽  
Relevant Dimension ◽  
Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

Criteria and Methods for Reliable Three-Dimensional Image Reconstruction

1974 ◽  
Vol 32 ◽  
pp. 330-331
Author(s):  
R. A. Crowther
Keyword(s):  
Image Reconstruction ◽  
Finite Number ◽  
Density Distribution ◽  
Electron Micrographs ◽  
Mathematical Problem ◽  
Three Dimensional ◽  
Ideal Case ◽  
Dimensional Image ◽  
General Object ◽  
The Ideal

The reconstruction of a three-dimensional image of a specimen from a set of electron micrographs reduces, under certain assumptions about the imaging process in the microscope, to the mathematical problem of reconstructing a density distribution from a set of its plane projections.In the absence of noise we can formulate a purely geometrical criterion, which, for a general object, fixes the resolution attainable from a given finite number of views in terms of the size of the object. For simplicity we take the ideal case of projections collected by a series of m equally spaced tilts about a single axis.

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