标题： 超矩阵的半群带表示 显示英文标题

标题： Supermatrix Representations of Semigroup Bands

摘要： 各种非可逆的具有特殊（反三角）形状的超矩阵半群，其Berezinian是幂零的，在超对称理论中被定义和研究。其中的一部分连续地表示左零半群和右零半群以及矩形带。详细研究了高阶矩形带类比及其“wreath”版本的理想性质。我们引入了导致“多维”蛋盒图的“精细”等价关系。它们是相应子半群上Green关系的完整像。 显示英文摘要

摘要： Various semigroups of noninvertible supermatrices of the special (antitriangle) shape having nilpotent Berezinian which appear in supersymmetric theories are defined and investigated. A subset of them continuously represents left and right zero semigroups and rectangular bands. The ideal properties of higher order rectangular band analogs and the ``wreath'' version of them are studied in detail. We introduce the ``fine'' equivalence relations leading to ``multidimesional'' eggbox diagrams. They are full images of Green's relations on corresponding subsemigroups.