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Knots are used in everyday life, from tying shoelaces to untangling extension cords. Knots also have significance in the mathematical world, with applications in fields such as biology and physics.… Continue Reading
Early hematopoietic zinc finger/zinc finger protein 521 (EHZF/ZNF521) is a novel zinc finger protein expressed in hematopoietic stem and progenitor cells and is down-regulated during their… Continue Reading
ABSTRACTLet R be a simple artinian ring with characteristic different from 2 and 3. The purpose of this paper is to describe additive maps f,g satisfying the identity f(x)x−1+xg(x−1)=0 for every… Continue Reading
Suburbs are often very contradictory places. Despite great part of urban population live there, these parts of cities are mostly considered as degradation places. The topic of suburbs regeneration is… Continue Reading
ABSTRACTLet P, Q be fixed rank-one idempotents of Mn(C), the algebra of n×n matrices over the complex numbers. In this paper, we will study a bijective linear map f:Mn(C)→Mn(C) satisfying the… Continue Reading
Abstract Let D be a division ring with characteristic different from 2. In this paper we will describe an additive map f satisfying the identity f ( x ) y + x f ( y ) = l for every x , y ∈ D such… Continue Reading
In this paper, we show that a linear, bijective map f:Mn(C)→Mn(C) such that f(X)f(Y)=N whenever XY = M, for M, N rank-one nilpotents, is of the form f(X)=cU−1XU for an invertible U∈Mn(C) and a non-...
Abstract Let D be a division ring with characteristic different from 2, and let R = M n ( D ) . The first goal of this paper is to describe an additive map f : R → R satisfying the identity f ( x ) f… Continue Reading