Given an associative unital ℤN-graded algebra over the complex numbers we construct the
graded q-differential algebra by means of a graded q-commutator, where q is a primitive N …

arXiv:math/0112045v1 [math.QA] 5 Dec 2001 Page 1 arXiv:math/0112045v1 [math.QA] 5 Dec 2001
YTUMB 2001-02, November 2001 Differential geometry of the Z3-graded quantum superplane …

We propose a concept of aq-connection, where q is a N th primitive root of unity, which is
constructed by means of a graded q-differential algebra B with N-differential satisfying d N …

We construct aq-analog of exterior calculus with a differential d satisfying d N= 0, where N≥
2 and q is a primitive N th root of unity, on a noncommutative space and introduce a notion of …

Differential Calculi on Z3 -Graded Grassmann Plane Page 1 Adv. Appl. Clifford Algebras 27
(2017), 2407–2427 c© 2017 Springer International Publishing 0188-7009/032407-21 published …

In this work, we construct the algebra of differential forms with exterior differential d satisfying
d3= 0 on one-dimensional space. We prove that this algebra is a graded q-differential …

In this work, we construct the de Rham complex with differential operator d satisfying the Q-
Leibniz rule, where Q is a complex number, and the condition d 3= 0 on an associative unital …

We show that a semi-commutative Galois extension of a unital associative algebra can be
endowed with the structure of a graded q-differential algebra. We study the first and higher …

In this work, Z 3-graded quantum (h, j)-superplane is introduced with a help of proper
singular g matrix and a Z 3-graded calculus is constructed over this new h-superplane. A …

In this work, we introduce Z 3-graded quantum group GL _q (2,\mathbb C) q (2, C) with the
help of Z 3-graded quantum plane and a Z 3-graded bicovariant differential calculus on the Z …