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On a generalization of I-regularity
Open MathematicsLet SS be a pomonoid. The projectivity and strong flatness of right SS-posets have been central topics in the homological classification of pomonoids in recent decades. In 2005, Shi et al. introduced II-regular SS-posets and proved that all its cyclic SS-
Qiao Husheng, Feng Leting
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On The Category of Completely Regular Semigroups
, 2018 In this paper class of completely regular semigroups is considered. It is well known that the category ℒ(S) of left ideals of regular semigroups form a normal category and the semigroup of normal cones in this category is a regular semigroup.
Michael, Siji, Romeo, P G
core
On Unitary down-closed regular monomorphisms of pomonoid actions
, 2018 In this paper we characterize injective objects in the category of S-posets and S-poset maps for a pomonoid S, with respect to the class of unitary down- closed embeddings.
Farsad, Farideh, Madanshekaf, Ali
core
Quasi injectivity and θ-internal order sum in partially ordered acts
, 2019 Injectivity (weakly injectivity) of objects is an important concept which category theory inherited from homological and commutative algebra. One of the useful kinds of weakly injectivity is quasi injectivity. In this paper, we study the relation between
Yavari, Mahdieh
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On 0-homology of categorical at zero semigroups
Open Mathematics, 2009 Novikov Boris, Polyakova Lyudmyla
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The Σ1-Invariant for Some Artin Groups of Rank 3 Presentation
Communications in Algebra, 2015Dessislava Kochloukova +1 more
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INDECOMPOSABLE, PROJECTIVE, AND FLATS-POSETS
Communications in Algebra, 2005Xiaoping Shi +2 more
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