TY - JOUR ID - 2061 TI - ON GP-FLATNESS PROPERTY JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Mohammadzadeh Saany, H. AU - Abbasi, M. AD - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran. AD - Department of Mathematics, Zahedan Branch, Islamic Azad University, Zahedan, Iran. Y1 - 2021 PY - 2021 VL - 9 IS - 1 SP - 151 EP - 174 KW - G-left stabilizing KW - GP-flatness KW - GP coherent KW - right generally regular DO - 10.22044/jas.2020.8923.1437 N2 - It is well-known that, using principal weak flatness property, some important monoids are characterized, such as regular monoids, left almost regular monoids, and so on. In this article, we recall a generalization of principal weak flatness called GP-flatness, and characterize monoids by this property of their right (Rees factor) acts. Also we investigate GP coherent monoids. UR - https://jas.shahroodut.ac.ir/article_2061.html L1 - https://jas.shahroodut.ac.ir/article_2061_8c60a6b1d34ef82207bc7be5f7bfb0c7.pdf ER -