A module M is called a simple-direct-injective module if, whenever A and B are simple submodules of M with
Key Words:
Dedekind domain, Simple-Direct-Injective module, Left (Right) simple-direct-injective ring.
In this paper, we define the generalized k-balancing numbers {Bn(
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In this paper we consider a more general class of centralizers called I-centralizers. More precisely, given a prime ideal P of an arbitrary ring R we establish a connection between certain algebraic ...
Key Words:
Prime ring, Prime ideal,
An element a∈R is strongly rad-clean provided that there exists an idempot...
Key Words:
Strongly clean matrix, Strongly rad-clean matrix, Local ring, Power-series
Let D be an integral domain and let * be a star-operation on D. In this article, we give new characterizations of
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In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by cu...
Key Words:
Marcinkiewicz operators, Product domains,
In this paper, we prove the generalized Chen's conjecture for (F,
Key Words:
Riemannian foliation, Transversally harmonic map, Transversally biharmonic map,