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In this paper, we will prove some new dynamic inequalities of Hardy and Littlewood type on time scales. The results as special cases contain the integral inequalities due to Hardy and the discrete inequalities due to Hardy and Littlewood. The main results will be proved by using some algebraic...
Let M and N be two modules. M is called essentially pseudo N-injective if for any essential submodule A of N, any monomorphism
$$f : A \rightarrow M$$
can be extended to some
$$g \in Hom(N, M)$$
. M is called essentially pseudo-injective if M is...
An associative ring is said to be right strongly Hopfian if the chain of right annihilators
$$r_R(a)\subseteq r_R(a^2)\subseteq \cdots $$
stabilizes for each
. In this article, we are interested in the class of right strongly...
In 2002 Markov interval maps were introduced by S. Holte. It was shown that any two inverse limits with Markov interval bonding maps with the same pattern were homeomorphic. In this article we introduce generalized Markov interval functions, which are a generalization of Markov interval maps to...
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