On the existence of congruence-uniform structures on universal algebras

1996 ◽  
Vol 36 (1) ◽  
pp. 141-158
Author(s):  
H. Woracek
Keyword(s):  
Universal Algebras ◽  
Congruence Uniform

Weak Products of Simple Universal Algebras

1969 ◽  
Vol 42 (1-3) ◽  
pp. 157-171 ◽  
Author(s):  
Tah-Kai Hu
Keyword(s):  
Universal Algebras

WHITEHEAD EXACT SEQUENCE AND DIFFERENTIAL GRADED FREE LIE ALGEBRA

2004 ◽  
Vol 15 (10) ◽  
pp. 987-1005 ◽  
Author(s):  
MAHMOUD BENKHALIFA
Keyword(s):  
Exact Sequence ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Integral Domain ◽  
Free Lie Algebra ◽  
Universal Algebras ◽  
Free Lie Algebras ◽  
Equivalent Class

Let R be a principal and integral domain. We say that two differential graded free Lie algebras over R (free dgl for short) are weakly equivalent if and only if the homologies of their corresponding enveloping universal algebras are isomophic. This paper is devoted to the problem of how we can characterize the weakly equivalent class of a free dgl. Our tool to address this question is the Whitehead exact sequence. We show, under a certain condition, that two R-free dgls are weakly equivalent if and only if their Whitehead sequences are isomorphic.

Varieties of infinitary universal algebras

1985 ◽  
Vol 20 (1) ◽  
pp. 123-126
Author(s):  
Ji?� Rosick�
Keyword(s):  
Universal Algebras

scholarly journals Universal algebras with all operations of bounded range

1974 ◽  
Vol 30 (2) ◽  
pp. 177-185 ◽  
Author(s):  
I. G. Rosenberg
Keyword(s):  
Universal Algebras

Finiteness of Semigroups of Operators in Universal Algebra

1967 ◽  
Vol 19 ◽  
pp. 764-768 ◽  
Author(s):  
Evelyn Nelson
Keyword(s):  
Universal Algebra ◽  
Partial Solution ◽  
Semigroups Of Operators ◽  
Ordered Semigroups ◽  
Universal Algebras ◽  
Partially Ordered ◽  
Master's Thesis ◽  
Mcmaster University

This paper is a partial solution of problem 24 in (2) which suggests that the finiteness of the partially ordered semigroups generated by various combinations of operators on classes of universal algebras be investigated. The main result is that the semigroups generated by the following sets of operators (for definitions see §2) are finite: {H, S, P, Ps}, {C, H, S, P, PF} {C, H, S, PU, PF}.This paper is part of the author's Master's thesis written in the Department of Mathematics at McMaster University. The author is indebted to the referee for his helpful suggestions.

scholarly journals Sameness between based universal algebras

2009 ◽  
Vol 42 (1) ◽  
Author(s):  
Gabriele Ricci
Keyword(s):  
Linear Algebra ◽  
Linear Transformations ◽  
Universal Algebras

AbstractThis is the continuation of the paper “Transformations between Menger systems”. To define when two universal algebras with bases “are the same”, here we propose a universal notion of transformation that comes from a triple characterization concerning three representation facets: the determinations of theHence, this notion consists of three equivalent definitions. It characterizes another technical variant and also the universal version of the very semi-linear transformationsUniversal transformations allow us to check theContrary to present beliefs, even the foundation of abstract Linear Algebra turns out to be incomplete.

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