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The concepts of fuzzy ideals of soft rings are introduced. The first, second and third fuzzy isomorphism theorems of soft rings are established respectively. In particular, some classes of quotient rings are characterized by their fuzzy ideals.
Let A be a finite dimensional algebra over a field k, and let C be the Cartan matrix of A. Usually, the eigenvalues of C being integers do not imply the semisimplicity of A. However, we prove that a cellular algebra A is semisimple if and only if det(C) = 1 and all eigenvalues of C are integers. Moreover, we use Cartan matrices to classify the cellular… (More)
In this paper, the main purpose is to discuss some properties respect to finite normalized tight frames. By using the relevant results associative to the group-representation of finite normalized tight frames, some interesting results of finite normalized tight frames be investigated. Keywordsfinite normalized tight frame; group-representation; Gram martice.
We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK-ideals of BCK-algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK-ideal. We state a relation between a fuzzy hyper BCK-ideal and a fuzzymultiply… (More)
In this paper, the concept of soft modules is given. Some properties of soft modules are discussed. In particular, three isomorphism theorems for soft modules are established.
The paper presents the concepts of gram matrix and group-representation of finite normalized tight frames.Some properties respect to finite normalized tight frames be investigated.