In the article, the possibilities of using folk art, ways of using it, and the importance of using it, which should be widely used in children's education, are discussed.

In this article, we . Let I=<f_1,…,f_s>⊂k[x_1,x_2,…,x_n ] -ideal. Then the ideal I_l is called a lost ideal of order l of k[x_(l+1),…,x_n]. I_l=I∩k[x_(l+1),…,x_n ]. In other words, I_l are the results of the system of ideal equations f_1=⋯=f_s=0, where they are polynomials x_1,…,x_l independent of the unknowns. Our task is to show that I_l is an ideal of the polynomial ring k[x_(l+1),…,x_n]. This ideal I=I_0 is called a zero lost ideal. Then, by changing the order, we get another lost ideal.

The article provides statistics on the necessity and benefits of using digital technologies in the educational process, as well as the use of distance education. learning skills or subject matter is faster, easier, and cheaper to learn.

Modern sociology as a science was not formed from scratch, it was preceded by centuries of searching for the truth about what human society is and what place a person occupies in it. The effectiveness of sociology relies on the broad resonance of the results, the understandable explanation of the current problems of everyday life. In this scientific article, we will reflect on the history of the formation of the science of sociology.

The article presents the safety, in particular, microbiological indicators and the standards adopted for them, established in the special technical regulation for fish and fish products intended for children.