An MRAM memory is proposed which gives a maximum read-out signal. This is advantageous for high-speed sensing of the MRAM bits. In an MRAM memory with magnetoresistive memory cells linked together to form logically organized rows and columns, It is obtained by, at least during writing, connecting write bitlines of two adjacent rows or columns with each other, so as to write inverse data values in two adjacent memory cells. In this way, a return path for the writing current is provided in a small loop, which enhances EMC behavior.