Supported by the Graduate Independent Innovation Foundation of Northwest University(YZZ12061);Supported by the Scientific Research Program Funded by Shaanxi Provincial Education Department(2013JK0562)
In this paper, we introduce a new algebraic structure, called a rough intuitionistic fuzzy ideal(filter) which is a generalized intuitionistic fuzzy ideal(filter) of a lattice and study some related properties of such...
In this note, we study of those congruences on an Ockham algebra with de Morgan skeleton that the quotient algebras belong to the class of de Morgan algebras. We particularly give a description of those kernel ideals ...
Supported by the Doctor Foundation of Henan Polytechnic University(B2010-93);Supported by the National Natural Science Foundation of China(11126121);Supported by the Natural Science Foundation of Henan Province(112300410120);Supported by the Natural Science Research Program of Education Department of Henan Province(201lB110016);Supported by the Applied Mathematics Provincial-level Key Discipline of Henan Province of Henau Polytechuic University
Let g be a complex simple Lie algebra of rank ι, b the standard Borel subalgebra. An invertible map on Ь is said to preserve abelian ideals if it maps each abelian ideal to some such ideal of the same dimension. In ...
Supported by the National Natural Science Foundation of China(10371051)
We study diagonal invariant ideals of topologically graded C*-algebras over discrete groups. Since all Toeplitz algebras defined on discrete groups are topologically graded, the results in this paper have improved the...
In this paper, we define the fuzzy k_i deal as a new fuzzification of the k_ideal in a semiring. Also we study the properties of the image and inverse image of a fuzzy k_ideal in a se miring under homomorphism. For e...
In this paper, we defined the concept of implicative and fuzzy implicative ideals of lattice implication algebras, and discussed the properties of them. And then, we pointed out the relations between implicative ideal...
In this paper,the I-ring which satisfies almost descending chain conditions (shorten writting A. D. C. C) on principal left ideals is studied. Two main results are gaven: (1) I-ring which satisfies A. D.C. C on princi...
Some properties of nil ideals in BCI-algebras are discussed. The notion of k-associative BCI-algebras which is a generalization of associative and quasi-associative BCI-algebras is introduced. Moreover,several charact...