The aim of this paper is to show that the weak subalgebra lattice uniquely determines the subalgebra lattice for locally finite algebras of a fixed finite type. However, this algebraic result turns out to be a very particular case of the following hypergraph result (which is interesting itself...
Locally finite M-solid Varieties of Semigroups An algebra of type τ is said to be locally finite if all its finitely generated subalgebras are finite. A class K of algebras of type τ is called locally finite if all its elements are locally finite. It is well-known (see [2]) that ...
Some results concerning simple locally finite groups of 1-type In this paper several aspects of infinite simple locally finite groups of 1-type are considered. In the first part, the classes of diagonal limits of finit... F Leinen,O Puglisi - 《Journal of Algebra》 被引量: 7发表: 2005年...
Let Γ be a locally finite graph, L the normalized Laplacian of Γ. If Γ is uniformly locally finite, i.e. if each vertex has no more than d adjacent vertices, then the matrix of L (with respect to the standard basis) has no more than d + 1 non-zero entries in each row and ...
作为局部有限族和s-局部有限族概念的推广,介绍了α-局部有限族的概念,并且通过举例说明了文献[1]中的一个结论是错误的。 We introduce the concept of α-locally finite collection as a variation of locally finite...
The outer derivation algebras of the Cartan-type Lie superalgebras W, S, H and K over a field of prime characteristic are determined completely in this art... Wende,Liu,&,... - 《Communications in Algebra》 被引量: 50发表: 2005年 LOCALLY FINITE-DIMENSIONAL SIMPLE LIE ALGEBRAS In this pap...
On Spaces Having the Homotopy Type of a CW-Complex Borsuk [2] has con- structed a locally contractible compact metric space С such that the homologygroups HH(C, Z) are nontrivial for every integer n ^0 It is easily verified that this is a locally finiteopen covering of A. Proof of...
A locally recoverable (LRC) code is a code over a finite field Fq such that any erased coordinate of a codeword can be recovered from a small number of other coordinates in that codeword. We construct LRC codes correcting more than one erasure, which are subfield-subcodes of some J-affin...
A characterization of finite symplectic polar spaces of odd prime order A sufficient condition for the representation group for a nonabelian representation (Definition 1.1) of a finite partial linear space to be a finite p-grou... BK Sahoo,NSN Sastry - 《Journal of Combinatorial Theory》...
As a consequence we obtain a classification of twin buildings whose rank 2 residues correspond to split algebraic groups over a field of cardinality at least 4. A similar result follows for twin buildings whose rank 2 residues are finite. DOI: 10.1515/crll.1999.511.119 被引量: 42 年份: ...