Монография содержит результаты исследований по T-пространственной и мультипликативной структуре относительно свободной алгебры Грассмана F (3), соответствующей тождеству [[x1, x2], x3] = 0, над бесконечным полем характеристики p > 0. Наибольшее внимание уделяется унитарно замкнутым T-пространствам. Одним из главных результатов является разложение фактор-T-пространств, связанных с F (3), в прямую сумму простых компонент. Кроме того, изучаемые T-пространства оказываются коммутативными подалгебрами в F (3), что позволяет описать F (3) и некоторые ее подалгебры, как модули над этими коммутативными алгебрами. В приложении изучаются не унитарно замкнутые T-пространства, а также случай поля нулевой характеристики.

Работа предназначена для специалистов в области комбинаторной алгебры, теории колец и модулей, аспирантов и студентов старших курсов физико-математических факультетов университетов.

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