On Vⁿ-semigroups

• Autorzy: Ze Gu , Xilin Tang
• Języki publikacji: EN

Abstrakty

EN

In this paper, we give some new characterizations of orthodox semigroups in terms of the set of inverses of idempotents. As a generalization, a new class of regular semigroups, namely Vn-semigroups, is introduced. Also, we give a characterization of Vn-semigroups and investigate some properties of Vn-semigroups. Furthermore, we show that the class of Vn-semigroups is closed under direct products and homomorphic images. However, regular subsemigroups of Vn-semigroups (n ≥ 2) are not necessarily Vn-semigroups in general. Therefore, the class of Vn-semigroups (n ≥ 2) does not form an e-variety. Finally, we obtain that a E-solid semigroup S is a V2-semigroup if and only if S is orthodox.

Słowa kluczowe

EN

Orthodox semigroups; V n-semigroups; V 2-semigroups; E-solid semigroup; e-variety

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2014-11-18

zaakceptowano

2015-12-03

online

2015-12-18

Twórcy

autor

Ze Gu

• Department of Mathematics, South China University of Technology, Guangzhou, Guangdong, 510640, P.R. China

autor

Xilin Tang

• Department of Mathematics, South China University of Technology, Guangzhou, Guangdong, 510640, P.R. China

Bibliografia

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Identyfikatory

DOI

10.1515/math-2015-0085