KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

A new example of strongly $pi$ inverse monoids

Ahmet Sinan ÇEVİK
Eylem Güzel KARPUZ
Sayfa
461–468
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Since this is a new product and there are so many algebraic properties that need to be checked for it, in this paper we determine necessary and sufficient conditions for this new version to be strongly $pi$-inverse, and then give some results.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In [1], Ate¸s defined the semidirect product version of the Schützenberger product for any two monoids, and examined its regularity.
📊
Temel Bulgular & Veri:In [1], Ate¸s defined the semidirect product version of the Schützenberger product for any two monoids, and examined its regularity.
💡
Sonuç & Katkı:Since this is a new product and there are so many algebraic properties that need to be checked for it, in this paper we determine necessary and sufficient conditions for this new version to be strongly $pi$-inverse, and then give some results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In [1], Ate¸s defined the semidirect product version of the Schützenberger product for any two monoids, and examined its regularity. Since this is a new product and there are so many algebraic properties that need to be checked for it, in this paper we determine necessary and sufficient conditions for this new version to be strongly $pi$-inverse, and then give some results.

🔖

Bu Makaleye Atıf Yap

ÇEVİK, A. S., KARPUZ, E. G. (2022). A new example of strongly $pi$ inverse monoids. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 461–468. https://ajindex.com/articles/530610

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (1)

  1. Ateş, F. Some new monoid and group constructions under semidirect products, Ars Comb. 91, 203-218, 2009. [2]Çevik, A. S. The p-Cockcroft property of the semidirect products of monoids, Int. Journal of Algebra and Comp. 13 (1), 1-16, 2003. [3]Clifford, A. H. and Preston, G. B. The algebraic theory of semigroups, I-II, (Mathematical Surveys 7, American Mathematical Society, 1964-1967). [4]Howie, J. M. Fundamentals of semigroup theory (Clarendon Press, Oxford, 1995). [5]Howie, J. M. and Ruskuc, N. Constructions and presentations for monoids, Comm. Algebra 22(15), 6209-6224, 1994. [6]Meldrum, J.D.P. Wreath products of groups and semigroups (Longman, Harlow, 1995). [7]Nico, W. R. On the regularity of semidirect products, J. Algebra 80, 29-36, 1983. [8]Saito, T. Orthodox semidirect products and wreath products of monoids, Semigroup Forum 38, 347-354, 1989. [9]Zhang, Y., Li, S. and Wang, D. Semidirect products and wreath products of strongly ir-inverse monoids, Georgian Math. Journal 3 (3), 293-300, 1996.