Results 21 to 30 of about 366 (139)
Congruence on a strong semilattice of π-groups
上海师范大学学报. 自然科学版, 2022 It is well known that a semigroup is a Clifford semigroup， if and only if it is a strong semilattice of groups， and the class of π-groups is the generalization of groups in the range of π-regular semigroups.
DAI Luyao, ZHANG Jiangang, SHEN Ran
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On fractional semidiscrete Dirac operators of Lévy–Leblond type
Mathematische Nachrichten, Volume 296, Issue 7, Page 2758-2779, July 2023., 2023 Abstract In this paper, we introduce a wide class of space‐fractional and time‐fractional semidiscrete Dirac operators of Lévy–Leblond type on the semidiscrete space‐time lattice hZn×[0,∞)$h{\mathbb {Z}}^n\times [0,\infty )$ (h>0$h>0$), resembling to fractional semidiscrete counterparts of the so‐called parabolic Dirac operators.
Nelson Faustino
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Cellularity for weighted KLRW algebras of types B$B$, A(2)$A^{(2)}$, D(2)$D^{(2)}$
Journal of the London Mathematical Society, Volume 107, Issue 3, Page 1002-1044, March 2023., 2023 Abstract This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types BZ⩾0$B_{\mathbb {Z}_{\geqslant 0}}$, A2·e(2)$A^{(2)}_{2\cdot e}$, De+1(2)$D^{(2)}_{e+1}$. Our construction immediately gives homogeneous sandwich cellular bases for the finite‐dimensional quotients of these algebras. Since weighted KLRW algebras
Andrew Mathas, Daniel Tubbenhauer
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Epimorphisms, Dominions, and Various Classes of Saturated Semigroups
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we discussed some saturated classes of ℋ‐commutative semigroups, left (right) regular semigroups, medial semigroups, and paramedial semigroups. The results of this paper significantly extend the long standing result about normal bands that normal bands were saturated and, thus, significantly broaden the class of saturated semigroups.
N. Alam +5 more
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Cross-Connections in Clifford Semigroups
, 2023 An inverse Clifford semigroup (often referred to as just a Clifford semigroup) is a semilattice of groups. It is an inverse semigroup and in fact, one of the earliest studied classes of semigroups. In this short note, we discuss various structural aspects of a Clifford semigroup from a cross-connection perspective.
Muhammed, P. A. Azeef, Preenu, C. S.
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Characterizations of Left H‐Clifford Semirings by Their H‐Ideals
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 The main aim of this research is to introduce Left h− Clifford Semi‐rings. Using some basic properties of h− regular semi‐rings we shall investigate several properties of Left h− Clifford semi‐rings and their characterizations. We will also establish that a semi‐group Q will be a Left Clifford Semi‐group iff the semi‐group P (Q) of all subsets of Q is ...
Rukhshanda Anjum +5 more
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[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan +6 more
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Weak Hopf Algebra and Its Quiver Representation
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This study induced a weak Hopf algebra from the path coalgebra of a weak Hopf quiver. Moreover, it gave a quiver representation of the said algebra which gives rise to the various structures of the so‐called weak Hopf algebra through the quiver. Furthermore, it also showed the canonical representation for each weak Hopf quiver.
Muhammad Naseer Khan +5 more
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The Source of Semiprimeness of Semigroups
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this study, we define new semigroup structures using the set SS = {a ∈ S|aSa = 0} which is called the source of semiprimeness for a semigroup S with zero element. |SS|−idempotent semigroup, |SS|−regular semigroup, |SS|−reduced semigroup, and |SS|−nonzero divisor semigroup which are generalizations of idempotent, regular, reduced, and nonzero divisor
Barış Albayrak +3 more
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Left (Right) Regular and Transposition Regular Semigroups and Their Structures
Mathematics, 2022 Regular semigroups and their structures are the most wonderful part of semigroup theory, and the contents are very rich. In order to explore more regular semigroups, this paper extends the relevant classical conclusions from a new perspective: by ...
Xiaohong Zhang, Yudan Du
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