In nomine Zappa, Zappatore

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On the Zappa-szép Product

The semidirect product of two groups is a natural generalization of the direct product of two groups in that the requirement that both factors be normal in the product is replaced by the weaker requirement that only one of the factors be normal in the product. The Zappa-Szép product of two groups is a natural generalization of the semidirect product of two groups in that neither factor is requi...

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We prove that left cancellative right hereditary monoids satisfying the dedekind height property are precisely the Zappa-Szép products of free monoids and groups. The ‘fundamental’ monoids of this type are in bijective correspondence with faithful self-similar group actions. 2000 AMS Subject Classification: 20M10, 20M50. 1 A class of left cancellative monoids This paper develops some ideas that...

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The aim of this paper is to study semigroups possessing E-regular elements, where an element a of a semigroup S is E-regular if a has an inverse a◦ such that aa◦, a◦a lie in E ⊆ E(S). Where S possesses ‘enough’ (in a precisely defined way) E-regular elements, analogues of Green’s lemmas and even of Green’s theorem hold, where Green’s relations R,L,H and D are replaced by R̃E , L̃E , H̃E and D̃E . N...

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ژورنال

عنوان ژورنال: Circuit

سال: 2010

ISSN: 1488-9692,1183-1693

DOI: 10.7202/902330ar