共查询到20条相似文献,搜索用时 15 毫秒
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Harry Lakser 《Algebra Universalis》2001,46(4):515-529
An algebra A is said to be a congruence-preserving extension of a subalgebra B if the mapping from the congruence lattice of B to that of A, assigning to each congruence relation β on B the minimal congruence relation on A containing β, is an isomorphism. We give a necessary and sufficient condition on the congruence lattice of a subdirect product
B of finitely many algebras in a congruence-distributive variety that the full direct product be a congruence-preserving extension
of B. We give several applications to congruence lattices of lattices.
Received May 25, 2000; accepted in final form January 22, 2001. 相似文献
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Joel K. Haack 《Journal of Pure and Applied Algebra》1983,30(2):157-165
A basic Artinian serial ring can be realized as the subdirect product of factor rings of (S, M)-upper triangular matrix rings with S a local Artinian ring and M the maximal ideal of S. As an application the serial subdirect product of (S, M)-rings is shown to have self-duality. 相似文献
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Yu. M. Gorchakov 《Siberian Mathematical Journal》2009,50(4):632-636
We find the sharp bound for the nilpotency class of the quotients of subdirect products of groups. 相似文献
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E. Ballico 《Proceedings of the American Mathematical Society》2005,133(1):1-10
Let , , be integral varieties. For any integers 0$">, , and set and . Let be the set of all linear -spaces contained in a linear -space spanned by points of , points of , ..., points of . Here we study some cases where has the expected dimension. The case was recently considered by Chiantini and Coppens and we follow their ideas. The two main results of the paper consider cases where each is a surface, more particularly:
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Joel K. Haack 《代数通讯》2013,41(19):2107-2119
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E. Ballico 《Results in Mathematics》1997,32(1-2):29-36
Here we give the geometric foundations of the theory of joins and higher secant varieties. 相似文献
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Anna Romanowska 《Algebra Universalis》2001,46(1-2):321-341
The paper shows that certain sums of algebras admit a representation as subdirect products. As a corollary, one obtains a
characterization of subdirectly irreducible algebras. Examples of modes show that the characterization gives a good basis
for a detailed investigation of the subdirectly irreducible algebras.
Received September 10, 1999; accepted in final form January 3, 2001. 相似文献
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Hiraku Nakajima 《Inventiones Mathematicae》2001,146(2):399-449
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