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Transitive closures of binary relations and relations α with the property that any two α-sequences connecting two given elements are of the same length are investigated. Vyšetřuj́ı se tranzitivńı uzávěry binárńıch relaćı a relaćı α s vlastnost́ı, že každé dvě α-posloupnosti spojuj́ıćı dané dva prvky maj́ı stejnou délku. The present short note collects a few… (More)
The existence of congruence-simple semiring S with non-constant multiplication such that 2s = 3t for all s, t ∈ S and S + S = S is proved and hence the most enigmatic class of congruence-simple semirings is not empty.
Transitive closures of the covering relation in semilattices are investigated. Vyšetřuj́ı se tranzitivńı uzávěry pokrývaćı relace v polosvazech. This very short note is an immediate continuation of . We therefore refer to  as for terminology, notation, various remarks, further references, etc. 1. The covering relation in semilattices Throughout the… (More)