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Publicationes Mathematicae Debrecen, 2007
Let \(FS_m\) denote a group algebra of the symmetric group \(S_m\) of degree \(m\) over a finite field \(F\). In [Acta Math. Acad. Paedagog. Nyházi. (N.S.) 23, No. 2, 129-142 (2007; Zbl 1135.16034)] the authors characterized the unit group \(U(FS_3)\) of \(FS_3\).
Sharma, R. K. +2 more
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Let \(FS_m\) denote a group algebra of the symmetric group \(S_m\) of degree \(m\) over a finite field \(F\). In [Acta Math. Acad. Paedagog. Nyházi. (N.S.) 23, No. 2, 129-142 (2007; Zbl 1135.16034)] the authors characterized the unit group \(U(FS_3)\) of \(FS_3\).
Sharma, R. K. +2 more
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International Journal of Theoretical Physics, 2004
The authors are interested study of finite effect algebras that arise as intervals in partially ordered abelian groups. They concentrate on semisimple unital groups, which are torsion free and have a finite unit interval. For such a group \(G\), the aditive group homomorphisms \(G \to\mathbb R\) form a directed partially ordered linear space over ...
Foulis, David J., Greechie, Richard J.
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The authors are interested study of finite effect algebras that arise as intervals in partially ordered abelian groups. They concentrate on semisimple unital groups, which are torsion free and have a finite unit interval. For such a group \(G\), the aditive group homomorphisms \(G \to\mathbb R\) form a directed partially ordered linear space over ...
Foulis, David J., Greechie, Richard J.
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Units of Group Algebras of the Fours Group
Bulletin of the Iranian Mathematical Society, 2019In this paper, the (Passman) fours group \(\Gamma \) is defined in the following way: \[\Gamma = \langle x,y \vert (x^2)^y = x^{-2}, (y^2)^x = y^{-2}\rangle.\] Let \(K \Gamma\) be the group algebra of the group \(\Gamma\) over a field \(K\). The authors introduce the definition of \(L\)-length in the group algebra \(K \Gamma\).
Abdollahi, Alireza +1 more
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Star-group identities and groups of units
Archiv der Mathematik, 2010This paper is an extension of the authors' [J. Algebra 322, No. 8, 2801-2815 (2009; Zbl 1193.16027)]. Analogously to a star identity in rings with involution a star identity in groups is defined as an element of the free group of countable rank with involution evaluating identically to 1 for elements of a group \(G\) with involution. Suppose that \(G\)
GIAMBRUNO, Antonino +2 more
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Unital topology on a unital l-group
Mathematica Slovaca, 2020Abstract In this paper we investigate some fundamental properties of unital topology on a lattice ordered group with order unit. We show that some essential properties of order unit norm on a vector lattice with order unit, are valid for unital l-groups.
Pourgholamhossein, Mahmood +1 more
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